{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Tce3stUlHN0L"
      },
      "source": [
        "##### Copyright 2025 Google LLC."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "cellView": "form",
        "id": "tuOe1ymfHZPu"
      },
      "outputs": [],
      "source": [
        "# @title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Z7cHKPmZK4OG"
      },
      "source": [
        "# Guess the shape: Triangle, square, pentagon, ?\n",
        "\n",
        "<a target=\"_blank\" href=\"https://colab.research.google.com/github/google-gemini/cookbook/blob/main/examples/Guess_the_shape.ipynb\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" height=30/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CM5N7IHMM3l2"
      },
      "source": [
        "This notebook provides a quick code example showing how to use multiple images in the same prompt with the Gemini API. You'll show the model a sequence of shapes (a triangle, a square, and a pentagon) and ask it to guess the shape that comes next."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "EOqCKkXmHPx-"
      },
      "outputs": [],
      "source": [
        "%pip install -U -q \"google-genai>=1.0.0\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "0OtwGmEqIP4s"
      },
      "outputs": [
        {
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'1.9.0'"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from google import genai\n",
        "genai.__version__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "b1NQ8-rDINs6"
      },
      "outputs": [],
      "source": [
        "from google.colab import userdata\n",
        "GOOGLE_API_KEY = userdata.get('GOOGLE_API_KEY')\n",
        "client = genai.Client(api_key=GOOGLE_API_KEY)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "KvZrMouiNgrD"
      },
      "outputs": [],
      "source": [
        "!curl -o triangle.png \"https://storage.googleapis.com/generativeai-downloads/images/triangle.png\" --silent\n",
        "!curl -o square.png \"https://storage.googleapis.com/generativeai-downloads/images/square.png\" --silent\n",
        "!curl -o pentagon.png \"https://storage.googleapis.com/generativeai-downloads/images/pentagon.png\" --silent"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "5hHvmbdiAx0w"
      },
      "outputs": [],
      "source": [
        "MODEL_ID = \"gemini-2.5-flash\" # @param [\"gemini-2.5-flash-lite\", \"gemini-2.5-flash\", \"gemini-2.5-pro\",\"gemini-3-pro-preview\"] {\"allow-input\":true, isTemplate: true}"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "id": "lyO6-FUyIcj5"
      },
      "outputs": [
        {
          "data": {
            "image/jpeg": 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",
            "text/plain": [
              "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=451x480>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import PIL\n",
        "from IPython.display import display\n",
        "\n",
        "triangle = PIL.Image.open('triangle.png')\n",
        "display(triangle)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "id": "THvEUEYAIc4L"
      },
      "outputs": [
        {
          "data": {
            "image/jpeg": 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lkHcM/OKYuHO5GCt/e2jP5DpSsq790lxj3VSf0oAkFtak8KyAdSRwPxpZZ7a02nzMHHDN0qu6EvvjmlAH8TPtx+GKURzxHzRPJIPZd1AAZILltzs7sOcqP5VMyWyABl2qf71NSeBBhzdjd/Bgpim8u5aO0d4wOS5OPzNAE2yM8oLcL2G0UUwxwE5+yuPYY/xooAXIxhgtN2wNksgPtinkr1RkYerUwuQeShHtQAqwJj5EbB9DQ0IGDuwB6804biuEbNGJAeq59zmmAoVGOA2D9MUeUFyQVJ/2hmnFflG4qT6imiIEhlfBHoaQA1rC/wAzD5h/dyM0BYwMbSPcNzSFnRsnk0nyuf3jAfrQAgETnD7vqTTzCFPU7f8AZprHIMYwB67aakDkfLMp/wB40APwMf6zPsRSYt1I3kj3DdKUJKMgtGQOoBzTtibSWCnHqKAGh8IVCiQf3mAzUW9UXeWKgdSw6U7CFsb/AC/cDNS+Ssgw1wv0YUARJdLISBLvHselOLJ18pCfUiiSGFBzIh9Ni9aYrHOVBA9TQBIt0i8CIbv9qmyyI/Lpgeq4p4fBJYHb6niliaFNzpGMnoCcigCtsAOdrY7HNSghSp8sOvfnpUrESLh2VR6DrUZjjiGVuMj0bvQA/wA0YwEGPdRTfLlc5jMY/wB7ApoeMcnbn2pxy4+QZx6UAKI3jOWHzeqjik3u2V8wH1GMU3/SE5EEpHr2pXEj/cgBPXOcUAOK4XcvJ9zmmYuOXOwL6A80HzSRhVUjtninOQqbyi+ZjopoAjzk5IK4/WlCxy8scY9s04NLONzRhR0GO9Ru4HyNtTHocUAKEtWYqFcN3ycUuwooWJ1PoHII/Ok8uORQNyY/2e/1pyyrExVowcdunFAEaRI0hLqCfUdPzqUxwIRkov8AwDNNN4pbCW7ov+9xSpuY7hErKfyoAUrbbv8AWYY9MR0glZG8vhucglBTxt6ZK+gpMR9JTKM94xQAzMsbA+W5Q/xsvy0AkvwvPYAUiyJkxRyyYY8ZJyfxokWdDhl3KTnmTBA/rQANKzvt3hWHTccYoVVPzSTMx/2CMUfuolDTRKc/d+bNPXyfveWYx9Mg0AK1xHHhI441J7seTStLP/GqbPUcioxLZEMDajf0LAUEbxuRd6dduaAHJIQcRyEr/dYDr9aSRzITvlLL02g4IpnkXEqgLbtHGemMYqN1uLfIG1l9CmaAJQbVyQPJRh/Ex5/KkWazMmxZXVz69KckjeQrOkAH9wqCf5UyS4kYKkdssiMeDHztPrQBIjq0bhmeIf31YjP0FJudmyhUoO7ck03esiBZok3+xOfwp6xRxjP2gKp52sM//qoAay6aVzJbqZO4Q4FKgEYBitxDH3w2ce/NKrXAy0doSMcsSFz+BxUe+YsS6lCOmcHNAExjmuTloYpUI27xIMgfSl8gxsEjWOD/AGiSxNM2LJu8ydkc9VHH8qjECwrsPmSd93NAE8tnMZBI1xFkDgE8mmn7SQFErBR1CHBqBLVbjJWUrj1FOCxJ/rLhht7Y60ASkuucoxz0MrD+WKaJLmPBRduO68CoxPbsOHYAdsgA0v2uLCr5PAOd7EmgBzR38i5MmwdA6dR+NRrBKjHPnykdGkc8/hUpugqExux5zheD+tHnXcqZj3J/tOv9aAIC8IPMSg9wZDmipgkgHKW7HuSM5ooAfsj4X+P1zxS+R5bbmKfTdUQKZCsJG9yMU82ytkoW/wC+8/0pgODRucgZX0DYoLBBxG6j/ezUTRgjashz74pnlPD8zEn3JzQBOWXByGA9zTwkbqMbFb3OM1GsqsowAW9DSlYDj7R1P900gFYGEFikOPZ81H5l0g3JFG2eRgUYskBYDdzwHHAqUXCD/l43n+6EOKAAyXrrh4o19ajaRgQAwDnseKexD/N5Tg/TH6U9ZxjaYiO/zL/WgCItO7BC4A9GHFI0ZU8YY/U1KZZGbaGfae2OKVSqEkg5HqOKAEWSUqAUTb6sOKhlhj6u5JPZTxUjvHL6lvY4pAB/EgHuSc0AMQwRr8omU/Xin4LnEbqp/wBpTQUdl+S4Jx/Dt7U11BwGJA7llPNAxWlkHysu/HU54FJlAMlgh9OtKkjLnyzge460jGR+yH60AJiEjLK7/TgUwSxCTDxgL6A1MqKBiRCfdjiphHEEyqgfQZoEQK8IOVgTZjk7sUgljDfIcE9sZqZkOfkcOvp0NNyinbJA/PpQADzSN2XA9hTf3mTsVmx7c0MyxN8gdfYnNL9puCMIhz9KAGb2Vz5kZAHfBppnjzllZh/sqalVJpCC5kHrilkjfIVMgdyaBjFl3cpEGY92Of0pzGZF/eLGo7AACmlZkIyDntj/AOtUsaEZe7tg6dFY9f8AGgRAsE0xykaHH9zg/wCFTItwvEsTKvTcQKJLe2ZSFuAg7Lmq5spHIHn5jz1Lf0oGSuIcfvMunrRFbpIpMVxgKeFx0qLzLaNtuZWP+yKnLSXAAQtGq/xODQIQ25KYyrEfd6jmkRZVYtJISpGNo6fhSLuUkLcBz6AkUpDgYeM+afugSZBoAaxPKxOxU9cnJqusvkkqUmlz25NWsbMM8ZRs4yvIqQaki/IseD3OMmgCIRiQA+SkR65Zzn8qGRif9Y7OTwEGcfWpS6gbyzkntnpS7wo3GZx6fNxQA3ZeAgR3EYHdX6/yqE2xU/PPEHB4BOKkYxt+8xh++HzxTNtqy7pS4UdpACD+HWgBGi2keZcxQg9/M4P4U8SRBP3Lo3HXuajDWZ5S0jCnsFzT0cLgKiKOwdMH8DmgBjwLtLbgQPvKh5x7ClieOzBNnDNGG+9I/JP4VKUMpyGjBHuBSmKV8F9pVfrQAxngkUO0mXHbBzTD9mGHO7d3OelPCQAdGI7sVxSkRggxArjkjHBoAbFOhfbHclh15GcfjUplcuFafI7fLUTXFpG4SSMSO3quBTWuYYlxIFXPAC0ASPGkjcyAr6qBnPpQMx/8s5JgOi7Sc1DCjKSERlUnJZuf5U91u1f93yp/iwRxQANJIcNJtiA6IsfIpSttISbuV2x90KP55poZ5ASQEUfxNnJ+gpPOwci23H1K/wCcUDF2wKzGBBg9uOKazqcZmkTt82ABTvtSOwA09LhxwVHXP605Y53KsYVSIj5o2wcUCEEe7cXuLNR2OQT+P+TSJbQliRcvIOjAEbf5UObYHAhVTnrv/pig7HADyRsF5Ch+lAC+XZDjdaj64zRQJbYDHyD2C0UADSCQfNGwJ/vGhGaMHgID70LErD9659x3oa2t4+cyEehFMCX92687XI96VSwG0FUH+7mowIfvbSR23UjyIFJfgDoaAFEKBi7yMfYLijEOMhZM9yy8VF9ohC8RSP706OSAgf6O5yeAWpAPSAE585FTtk80rNb42hlXvuC9aXyYCcm1VW9d5NP/AHrNgFsn1NAELNBwdzhu5zwaTzLcjG0+5yam2sr/ADKVHuc0eUfRFHrkUARDDf6st9M08xzZHllSOhDHFKybOd/P0qJygIByT7UASESJnMaA56g0hL4yUBb6ZpFKsw/9mp+8oeUL+60wK6rJnPksG/vA1KHmCkOZPo6//Wp4kmbuqHt1NMZ7hny0jN24FADPObftUFmHoKN0hPMfzdzuxTmKKmN7ge4waau2UAq7HHGCOtIYu8s4i3Rs390Nn86VpZF4ZQoH93mlEJKkPLMnsFoAEOAwZlPcr/hQITzY15bK+44pftPy/JEXHqe9IJVDfJFH+IxUpaZ8bo02jnGeKAGid0+/BhuwNK90EU7oWA9QacrnkbAKU787Sgz7nFAESzpjh5FB7MKaZ0U53Fm+vFSeRKc/Ps+gzSlpIiqvcPt9TEKAI1aSRc+UCO20nNKbQAZdbgeysTj8KeVLncJJM+vT+VCR5P7ydw46Ek8igCuumqp8xZpXb0kUjFIRMv3owe3zNwauNHMG+SZCv+01BW4HJktWXtnBI/OgZX8uf5cwR7euUAGKbKzP3lPsHp7sGwZRFkdGU5ApI7q2Bz5sbEeibaBDQ8ZCqwnDA8EJn9akA+XaX3jr869KJL93+VZ1VOwbpTFkdiMSx59RxQApgEufmYEdOcCjyzGMKqs3qOtIRHJ/rLnp3U8U9JmUYhZCMYLZwKAGJHJIccBh/DnrSPBtw0ilif4U5/8A1U5ViJO5139yen4U0yRICVlYk8ZWgBrCMHmGePH+zxTvNdjsWNHPYuoyKVFldcrc3Kn1KjFRlZTGf9IWQg8bgcigBXMysPLt0lPdQRmk8iDO97ecE9dp6fXNKLxVBDRgnudvNRi7LuxEnlr0zzxTAPLSMlo7UnHsRj8qljeWTDPZSBTxvWVgv8zTobicJhIVl/3jtxTh9rdC001rDH3BOcfhSAUo753s8foAcr9M1GIbg5/eQIwPAbvTJr+zs3CS6mpdjgCNMZ9qn2kqHSfluQGQD+tACLHGBskaPee5ycfpSCH7Op2NAxJwHCc0Mvea3eYeqcfqOaF83cFhtpIEx8uTn+dADjbhyA7kd+4/WnHcmSJhjoOc1EqSBNkrMTn5sDOaDC0oBV5FZejPHgUAI8Qm66mFYdAP8aiOnWDD/SL66aT/AGSQDUgiutxkaS3kA/gPyA++acsJYfLPBEuMBSS3P1IoAYRawR/6Hb3RC9WC559zUPlRT5d3v3l6lIxgfrVsFolAF1CG7bH/AJCop53aX95dOr4wFUYAHrnvQAn9ny3ChvICr2Uj5qVbGBPvzhJc/dCdP1qu8cLnzJZ7pcjI3J979elSeXaSFX+0GLjP+rJPtQBKIuOQT7nAoqUbAB/pUrf7RtRzRQBD9hjBI+0dOmB0qRYBEnzSsxPc0iwqoCrjaPU0rKCRkEj/AGRQBHsZDu81iv8Au8VLuTI3EOMc47U1ouCwWNsdmbn8qYsEbjJYI2c42mgCYNbLkxq49eRQ6JIAyW+GPo2M0iIqj5Cg9SyY/nSF3U4QqfoaAEEU2CFiOf8AZ5rm/FXihfDemm4nQu+cIndjXTtKFQq07bj0Va8V+LME32+1mkmDR8hTngU0rgyW2+MNybzN1ZKLbONinp713ejeOvD2sEIlwYpDxtbivndsbOVJPsKktroW0scgLBlOVI6ircexNz6tWNdgIDsjdCTTVYHhQR/vVy3gTxDDreirbmQvcxDDb2x0HWuoYuVIZASOgQZzUFJj2t/OXG8IPXODSJH5TY81jx601WIIwoB9+TQ8DSN8yt9QcUhkjxs2CJF/OmHzD8sf3u59KjFmqNuyzA+tSBP+eQP50CGs00ZzIqSY5JJ4ojmSfhY4R6EkipI4pFJZnB/2XHFPLRu+ZmDN6KMCgCJ4bpV3RIGJ6DzM02KO8dsy2j49jxVkGCM74/NLnsO1DXc8oC4mHbPmYpAQM5h4ewDE8Dk80wO23cV2HuvpVtXIGDk/jTTcqrfPCdo654pgQZlnjIhSMAdXbOc0n7yIYk2sw79/1qTzRyyDGT0XmpEJfMhfkj7rKOPzoAqiK5PzCcgE9qsra3JHyXqt7EYpxjJP8LMR1XrUbQuMFo3Cno27GaABrZohua4O7uAeKdscqGkn3J9KZ9nkOHWUED+E0B5Rnfbysp/uDOaAF+ww8MJZW9vMpXhtY8Bycn3qF51VuY5AewIOaepyN7QIR2MhoAcIoCoI8vjoCKe0DbeBbIc5GxMZqNFDZwyRt6HG2mNLb7trzcj+FOKAJvJcggy7lx0jOR+VIsSFNs5dQO2zNCLFkGIzoPVeaguJLe3y0915X+1NxQBM0FiHGI9/t0qT7PC2MabkdsNtzXM33jjw9pKEtqCSydlhTeT/ADFc5dfFfTA+YbK5ZfWZggzRZgejNE6nEdqkf+yTkn8aUBlYARgH6jNeOX/xY1KViLGzhjyM7mJYD9QDXIXmv63qFzLdNqjq7ncUjcrggdB7VSTFc+jplKMzSHy1HUswFRcI5dZHZSOFQZ3V81SalqsybHv7p0PVDMxAHvUK6hcrtP8AaN0GB28SN8o9BzT5QufSlxeW0GJLhljXPBkOOapz+K9DtQBdajbLkZxGQcflXzldXM9yN1xfSSuMkGVyT+tQKyKvLMSw9OKOUXMe1a98U9GgtJ4tIma4vdn7uQQkgH0rgL34h+ItShlhe9SNSCP3cABPtknNcms5RWxKVA6BBjNNKRy7pIgoCjnc3LU1FCuXpPEGqzQbG1GVtmMbjg/n1rsPDfxGvtLeOC/mjmt8KDvYkp6nPU1w/lyXTK8MCybByvpVaTKuyGFI26H0osgufVenXlhqVqtzpt67pLg4VjtP1qzwCf3nlD0jzk/jXi/wq8UJps76XeApHcndHKFzk8DFe0mRUGxYWwf9nk1m9yxgMIb5pJ2b1Pb9KGEpYsJGZB0UnBx+NP8AtBAxsZccYBGaY80kR3sHdWHGTuIoAjaWQYDKkSj+JyCKTzPOlKnbN/47xUyXEiA7VYA/ecrtC/n1pBdK/wC6hbIPLEAfyoAi8u3U/wDHtab2/wCWZO4/p0qSO7KPsit1U9MEU4SShSibFBGGOQpP4UFpUUBQCO3zc0APNzPuy1s8mfUjmonVzMZBEofsC4yKjYLJIWkZuDghW4o8wZCQWztjozxk5oAkNvKxybhRntzRTN8h5Nrz7qQaKAH+XlS2I2HqWxilCyZGJUVfQc0qom3KpGQPWnFio4ZFU9gKAIgWTGz8h1pWmuMg4Ix04zUu5APkPNNaaQsArECmAzeZiDKzEjoAlBjZuFAX+YqUxzON2ePXPNMEYAOC5B/vNmgBESdMhYhKx6hq4T4maJNqGhPKun7ZYDvG3H413ghjyNzA/Xmq2sW32nT5IoztZkI3Z9qBny2ruV5jAP0qHe+WGQM99tXr+Key1S5ti2GhlZcHA71nP5vcg89q1MmdH4X16fQ9SWQEyLnkA4yK9Tj+LeiRwoHs5/Mzhhk/L714mQfso/d9uoFQKCeAefSpauNM+hG+KXhf7KZ4ZZ5DnGxUOf5VWX4u6FgEw3WT/CY+a8GjDq/U4I7NU6KMht2D9cUco7nuN18WNFEW8R3IJHyjy+PxxVSH4waTIG821lQDusfJ/KvFpgyMdjl1YcgE4otw+CPtKx/73I/SjlDmPcf+FpaQQXBuF4zjZn8Ko3XxcsjDmOGbcfujYM/zryA3NyAUacMn+yCBVdxI2T2+tLkDmPTn+K+oCRZI9PXbzyZMbv8ACkh+MWrhttzZWzgnorkkCvO4YmVQSBkjrimtG08hD3CJjoelPkQrs9Mn+Kmrzsq2VrHEx7S5PNRw/FLWQH+0WNvcr32syhT79c15qUby9i3Ads9ATTj9pij2SSMIm7butHKguekS/FvV4bUlLWzRz02qTj9axpPid4hfOyRHJO4sYsY9q4h5SWO3jJ781YjmEIYM7DcMEA9aOVBc7R/ifr0trsSSCByRllzn+dQr8QvEkThF1kABSfnQNj2zXGhrfIZnZhnO3GKkaeCUI62oi2IFZlbO456mnyoLncWXxQ8Q2pO+aCcEEgyL0/Kpm+L+uiQt/o7DA+VUIUf1rzt59hHkgr6n1p0UkGH8yAyMQQp39D/WlyoLnpEfxo1kAqNPtpB/eyw4q7bfGKUgjUNHXcP4g5/lg15bHdoVw0bemFPWmiZvn6hj04o5UFz0C++LGsajKI7aK3ttnOQm4ke+QMVn3/j3xI8AWK8hQN1kihAP0ya4xZI1nLurtuGflbGafMYp5E2xy7gPmBPUUcqQXNaXxJrlyw+0apf577JcL+nFRSX99cn/AEq8coBnzWO4gVnG2ZYA4yFLYG7tU5a0EqrGhk2jJkU4GfbNUA5zaBY/37lM5wVIx70TSKy7TOHjzxgc4pJLcXUW5ZRHk5IeQY/KojCVkaQsjx9AyHNAXLMRDDy43ITHOar7ts4jZ1Kg5BHSruYNrCM/OycdufyrU0TwZrusoZLPSN6r8waViFP0oA5p7liwC/eJ6AUsjByGkkZSDnKpjH5d666T4c+KzMJDpqIAxUBXyR/9ai48B+KQWR7RsYJxGud1F0FjkoNPvLpnlSN3QDLMx6ipf7NubhdiWwiAGcliSa6O3+HXiedQV0+RSMZAbBH51at/hZ4qe88l4WtxjHmPKAP060XQWONNidocPGwzyrDaQfpVcRwKCGkUsD1XJzXqGm/B29mEi32oQxbZCMKu8sPUHiugj+D2kLp0kKyXJuyQUlyMLj2pXQ+U8SiddwTfIwf7wQYINRkypK8YWQrnO054rpfFXh688Ja2sE0sW6RPMDREkgdO4FZbDf8A6ZLdPvk6puOTTEafg6KaXxVp0It/Nd3V9sjY+XPOB0r6PeRyRgzMwHKsmCP6V8y6fqX2TUbK6t5JkeCVXAKcAA/Xmvpy3upmt4mLJIHQNuxtxkVEkUhuyWVOESMjqzPz+WKVTjKhd7Dkvu6fgKc7Q7g7uHI6qTx+XeoZ7i3Uhliw3QBAefwFQMfJJaxrmaVl3fwurEH8M4pjXGmMMEBW6hthz+lJDebn5t5D67kPA+hqXemPkTAPrCFoAiEckn+qXzV9CNvFKYni5ECtIeBh+aV4bRyXa9mV/wC6R/KohHudVlurhG6gDAGPyoAXE0TACNo26/dXA+pzmp/tF66HfMAoPUg80yCdGiISTapP3mA5oW5Ej5UltvQYGKAHi4vcDEYYdj5bc0Uxpbt2LHfk+jcUUAOOBz3NMLjO3rUvlKvzG4J9gKUzIAMr83sKAK4D53KAF6c9adlkXLYUU4OrNgqw/HFKrBCdh/765oAaYjJjaykEdyaGtZlA2fIf97IxUg578+goKylSBGD7scUwGJZzqcsw+hNJchlhZWBY9QVNOZZQoyev5UsmzycFATjsaQz5r8TReX4p1AOgLeccgnmsO5jdZNxbIA4Fdb4+tY7bxdORuG9Q+Sc5/GuQvNzuuH3KB1xitVsZskD3D221XJiz0Jqv5bLkNtGRxk06JWlXaM8djWla2U7SKkmnNIMgZXNMRnRxuR8hwe/NSbQwwztx6HNeh6V8LrvW188xCxg/6aPk1p23wgEV9suNRhaEjJK/eFTzIdjylIYG/jfP070xoipBKnHrXuEfwu0RMq9xPKfVQBVlvhp4bMARvtQbHLhuf5Y/SnzIdjxJbYNbhvOjUN/Cz8/lSR2Iyd84LY+4pyT+Ve1r8K/DrAYubxuckEjn9KsQfDHw7C5Ywz7c5Hz4P8qXMh8p4YqROp4VG6cMf5USW3ykDymx+Br3Rvhf4a8wsn2lMnpvBq7b/D/w1BAYvsQlyQSzct/SjmQuU+eUtJMbkIBHUipfsRCFzIzleo2mvo1PCmjbVhh0a3CjPzSKKuWnh2xsl/cadbIvf5Rg0cyHynzOcm3dWWGNfdMMfpmoCEKgrE7H/a719RXWladqMRt57C1kUnO0KBVUeE/D8ZUjTofl/hZQQDRzBynzk+nPeurQWMgXvsBaoWsZYmI+ySDn+JTX1FBZ29mAIYIUjzyqRKM/pQ0NpKxH2K2J65kUYFLnDlPmNtHumt0m8hwueSI2Ix+VV3VQ+02pCqerZ5r6p+zwJCqyQosZ+6qkBfyqqdN06XKtYWrpncQ0YIJ9+KOcOU+Y1B3ERW8K8dTu5+mTVuPTbyTNzHpssiAZIEbEV9JzaLp84QNplo0a8gJCv9BVtfJVDH5UqKB0RelHMHKfK8kU8yFFsPLdcbsKc4/Gpk0i7aZPN065k80ZTbGRn8a+mvJtUYukUAdupkjBZvrxT2uAu0MFUrwMKBxRzC5T5wi8J63dMr6fpN1sJxnacZ/4FVyT4eeLUSOJ7FjHIRyHUAexr6K+1Jt5XOe5QEVA8rYJLJ7AxD+dHMOx45p/wj1CVIzeTW1uu4bsybmK98AHH610Ufwd0xZI5Le8ZlDgkMMZX869ASWEjLW8ch6bpVyPy6U9UXPyxgD0HApOTCxj6b4K0jS5jLb2SNN/CzNuAH41u+RLGMSuFUH5cL0/KmtEDwzsE7qHxTVhtAfn8wY6DfmlcYFlXIEjs+c5cdad50uzaYJSD/dGP1py+QDiJizn1bP6U1pJuA8zD/eOR+lAERmkU7WuJI06KMZxTS6M3yTs59jVkXOwkMUlXoSFz+XFNe4QnKxMO+00gI9m4cSBT6kc0xIbhC0nnq0Q/iDYp+LdjvYTeYvbfx+VIwBwEjOM/wB/GPemB5X8XdMXzbDVIA5d8wMS/PTIPPbrXlzGVokUqMg/Mcd69s+KtibzRLItdCNhOAgmbPmcH054ryCWC3W2k/0kuASCwjKjI5xnNXHYllXzBICvmjjnAT+tfSmgPDJ4Z0x3AMhtlJ4yenoa+aLJZJS5WBWDEHJU549PavpDwjOt54T0+VYo1HkgEgH5SOMUSGjU3IACYGJHTKg5qaAzTDcrxxY7bgD+tKYJhh41Rs9C3A/U014pbgYkt4gynkx4x+dZjGSTMJdjTtI3YuOn44qB5Ruwv3z03N8pqcZjUJ9pt1C9gQSPzpUkYYMlz5y54LJnFAEfksw3+SmQOflzSlvMCgv5MfUkgk59KkPzvuZlbnj5cYpshgLbmdgw6YxQBDKySgBTwOFyuPzpjLCn3oopCewXFT5AXeQGA5yzBaRdQjUABRtPXCg5oARbe02j/R7g+64xRTftIPIgcD0AIooAk2IOhJ+ppfMMbZGMex5pfLaRdscyR+5Gab9nRc5utzjqoGKYEnno6/6se9MMkfO1GLegpDHGuSZCo+tMd7dcFS7N7UAOM8xwjRsB6YqZVRV3OoY+pPSo4pro5K2jMvfBzQJVLf6hkf0PIoAl/fuMwqrj0K5FBjkIIlt1BP8ADnFC3jZKqWTHXAxTmXzUPmTjpnBpAeF/E0RHxQIR5eFhAyW6HJrgbtY4pwqlc4ySnNd58SoY4vFSuIlZTCO+B1PWuMuGjaMhUjj5/hUn9a0hsTLcn0aAi5jaWNiOuccV9FaBbQtoVrItkB8gIOB+dfOmmuYrmPqR9a+ifD1yV8N2WxOAnJJokETTERdssuR06dKQvbElTFk+4xSBw+Wkj3r6ntSMsOMqVx6A1BQ4eUnRCv8AwM0AFiSkXHqO9RoysSpAIHrSlIFbBdo89xk/pSAe7TRDakJz6Af4U0NPn57Zwvrg1KgjQfJdsSe5GKc3nYIa9QL/ALKkmgCHdGDwJw/+4D/M0bWJBkAIPQEYP6VKq20aj5DKx6s2c0mEVuFKZ7E0wG7HxkMMehNRlZGb5sFfZxUxSJhyCv6ikdrdQAiocd8f1FAEbwSEq+fLGOM9aBZxzf6y8KAf3QQfzp/mE/6uMsP9lKR1uEOSoT0pAAjCDbHLIydNzng09ERl27mA9QKYyF1wt2yP/u/LTfJYAZl3SepyRQArxwQZYMW46EZqMtKSqx7WJGcAYxU0Uexsyyw89Ni8r9ae1zHgg3DY9RwSaAIVgIO64YqOwXjNSbFiAPlFyR0L1GrK5HlXUzMemecfhTkthy08csmTwxfb/KgBv78jdHCiD0kOfypczlcTIuB34qRYlLklZFx0DtnNPkli4EhBFMCluDsQZEVemMGrIW7gjzE0PldctUuYWjJjWNuOMmoSjcH92n0YmgABaXBLbR/eC8Z9silaO5k485nH+/g0MFxzEh9+RUTKu7KsF+h4oAmW0ZFy+MkcEtkikIhA2+Z5meozxUYhV33ec+D3GQDTiiBiPMiUH7uAefrSAkERAHlrbgfgCPxphKwfLtUc/eTJzSeVK0ZMqxkjptYc/hmljXaPnhZD7mgBBIj/ADHKke+KZ5+4lN0jM3RN+PzNTMIW4lkZvocYpGlYIFhUeX2560ARtCViLtCSB/EG/wAetOSJ5VyQAP8AaFIWniOfLC5HGDmnoLp25AVD6tQBwHxbUweHLVDEG3XCkEqCOh49RXjc0+UAWOONCcMq8Zr2X4wIV8PWUMalpZLjIULknCmvGGWRYVLbWDHA3dc1cCWLEZsKscUmxhgL97Jr6H8Ebm8EaaPsrECLA56Hv1NfPETtbShLhdsYz8u4nkg9q96+HFxnwVar5EalWYJvGSRnqCfrTnsOJ0TSSL8qhwQf4gCPywaXypXZRsnHqzHI/DgVczNGu77YiHH3UOMUwzzujtLduwx92NlJb8cVmMYkUAH3FZgeu4g05okP3jN9BtqJpkjwI3VGbnGSSfrxS7Z+PMZSD1x/jQAjI8jfIJMdiCBUqW5EfTLAchjzUZGWwpIyfWkYbflLnJoARorUcz27yDHC7z/SpVKkb0geMKM4PzE/T0pqkRoVd2Q+itj+VMd4EHmLKA4Ockkk0DJ1eIqC39oA/wCzE2P50U1ZZSoOfzciigQhAX+IAewqOVLdsFpBuqxmEKPk3H1JpRJBGpGw/QcimBWW3t35aViPepFgto+Y2Vz6HmhpEkPEZP40rcYIiCjuQKAHeZOPuybB7LgU4XE5GPMQ+7DFMU7wc5ApvyDjO4+3WgCYylhh8OB0xwKaxQqeFX2FAYLgIpx3B704wPIpIiC/7RPNIDwz4pwyf8JFA5HyNFgcdwTXCzEouHGSfQ16F8V42j1q1Pm8GMjb6c9a84kDphsgg+9aQ2JluXLBj5qMMcHoa+ifCNwG8L2o2I5weh96+d7QKXSQfKeOAK+gPBdxGfC0MewAhiN1KQLc3y3nHaZGj9h0pBbSg8RtIPUEc0boyeWAFK1tIRmOWTn06VBQG3eMfOojB7vg/wAqFitSSPtO4nttxQltGjf6RNI2e2cUrQ20Q3K7fRaAGmHy/uFT9TT0W4Xk7Avu2KRGLfNHGAnq55pxjOchUI9aAIWLhgFZM+h4/Wl8uQjc+Af9k5qfyYR8xP4Cm7xknewXsoUfzoAgM3Ypj3NEdzCQVV8t/djQ/wBBVgbOuwEDnB5pZLqLbsCxI/Y7cGgCItcs37iFVH94g5piySQ/KTnJ7nv9Kk81z8xKtjjI4pySDf8AIy7vXBNAEbeWjjzblVzztRckfpSgEEkbJEP3S7bDj6AUjRhGJlll+bruFKpRSXiZbhGPV8igA+zwP/rWAPYDmnKoh5WRgo6OCOKdiJf4NrHkYGTUf70El9oU87WQ9PrQA8wmTP8ApYUnnJHJpjBef9O3c4C7Tj86QmLcWMu3PQKKBuB2rLhT3Kjj86AAttGBLvY9FA5pxchcNtUf7S5NMRIGJLyuzY/ibIP5U7FuMb9vHoaYDNsB5EuW9OlOWSRBlIXb0OMinj7ODuiRR3xkmnZ3crIV+maQFcb/ADtzWcpJ6ntUwjvJcPFCFPoVp6zyEcTqw9AKY8Mk2GNwVA7A0AMliuWwbmaLAOAoWkDlyY0ikXHUleDTvLkOMtGBnjeKebSR1Ae5GPRX4oAryR2kYLSJICT/AMsxup0ckb8Qi5z/ALTEE1ILZIxlpw7DooXpS7s/MxHA9MDFAEZQ7i3lyFvQmkZpVKu6SEj+E9xTxOSDskRz6MdppFe8kGYZAvtwR+tMB8cjxtyuAeeSMipGmD8BmA9cU02+CXmaWXPZTwPyp0W3f+5wGxwHHFIDyz4xOskGmQrKu8s77STwAK8veFZLbBdGCDkICCp/xr0D4wag7a5ZWzSRHZESyLDgrnv2zmvOGSQyGOMmMEb8FQD7VpHYlkcULeYx8wbRlVDAlj+Qr6N8FWk9l4N02KS2xP5WQzcDBOfX3r5ztrkb/nwWIG0AY2kdK+nNHuJJdCsZHlJdoVJXYo7diDRIcS00NyIxIsEO092Of0pFYlgZEtgwH8FAu285dkUgYDB3D5TUqtcuSCoSLHAUAjP41mMbvgiGWurfcT92GDLfrTuSuYpAU9JFGR/hT4WkCswRIyOuB8x9warNzIQzLJzyWfaT/jQBKZJAuAQ7eynFQtLOsIl2IwbIABGfyp8i7eQq57MRk09Iy7bgY0cfxMoJx6UwK3mITkwSyHuqqTUoMSspWAs/X5VfipZEnjjBeVFY9CGC00RSXCk28qKf4n3EDP5UgGm7dTtazvAR22n/AAoqRYbxVAa5gyPcn9cUUARkc8H8qA4LBC3PqaAMcZx70p8sHBkXPvzTAeJGjPb8qUXBc5Zc/QVEFdydrqcdtuKlCMq5d1Cj+7zQAoDMd6sV59OaVZRyG3N9TSBopOkjnHcDFBWMNneDnsTQAHPXaB7ilYHgByAaTbkgr/OlIODhc0gPG/izDIuo2TBkYYbjcN35V5u8ZRQZNq7ueBya9I+LUDDUbGRGVncMNuMY9815tIzbc7AT0x1Nax2JluWbW32uD84B+6Sf6V734CEP/COhGbcwOcHpXz9bMZZgRuUjnBavePh0Ek8Pb1w0hfBPU1MhLc64y26AgNg/SoRBbvkiWXB6jOKmLyKMBYz7FaaZlBxJAoJ9sCpLFWC3YFQXIHGS2aRbJEbgvtHQ7hzTVeJztDBAepXpShMgqjBj60gHMkisQQW993FM2EdSgz2zmnjfF3yR70jEzn5t6jrhFBJoANiphmZD6BM/rTjtkA+by/wzQIULYjZh/wBdOKeY2A2mWJvYigCNYogxDB29ywp6eQR+9iVRnqSDTRCpOPMVT7DihobRhiSYEjrxQArXUCEpA0Tn3GMUwmV+TLACOcR8mpUEQXZE0JA7FCP1pC6QvlYwSf7kgFAEQnZgBsLeuf8A69PC3L8JFlD139qd5twwz5EezP8Ay0fNHzSDqqkdlfNADTbzAfIqHHfPSmmKVj890SAf9Wc8UHcjYcFh6gmlLLglUwB/tHNAAYYG4aJnPsaVVCjHluq9BuHWmCUkZTJ9wMmkZ7lgFVCc9yaYDyYyNhwfcDmhIVhO9Yt6nvuzikbz7c4wFcjt3pqNLgvuUE/wk4NAEpAcZLtt75GKaHiQ7VGc+ppBE0h/euP90GnGCCJTtUk+uTSAUDHQAZ9BTTEqtl7gZ7ccU8CMIGdA/tRhQSyrgHsT0oAaNwJKumMeh5quZv3mxVbf3YjgVazvY7olb0DHA/SpPtNwqlEt0XPoMmgCqOIz5u7d2YNj9KVArgZlxj+Hk5p/7/OTAQfUkUpjnlUEiPI9xQA2R0dhh9uOv7s80jQgqf8ASBjHRQQRUqibpugQD+HbyaPL+Yb4wrH2oAhREBYRIxXoWZ+T+NOZ0QAeWpft89ACAMEV8Doqkfzp0EY6hGLn+FmAxQB418XYnfxJZPKihUtfm8sbsfN6dvxrgDDaod5muAw4OcZ/+tXX/E6a7XxvcRxztGghQYL8LxnGa4qB4pdqzSvvGcEitY7EvcsR20TI6Wpl24BbeRjP5V9M6GmPD+nEPGri3jDKMELx+dfMsGx9r741bIBXcemfpX05aRIum2iRrHlI1GSfbtilIcSy9wwBVXhcD1Q8VCtwkjBv3qkcER/KD9cCpS9wmBHs6dAuSaaZJZjskkcY/utioGJIIyQzs4J+6Mk5/OniP5Rk7QfUU1YraIkyRCVjwNzECh47YfeRE7gbj/MmgBChGQzq47DYP60ySNQozbFyeQXXP5YoHkgkeeuccDIOPx709J1KYE3mAcFSwxSAiEZ/hKRgDLbsioXEMsu17pUA6BcnPvwKsbj5pkSXBUcjggfnThqu0gCOIkfxooH8qAK2VHCaqQvYG3P+NFXzcoTlpVJPu4/pRTAi2YGMgj1oVhHkja1RkAcDgU4YK4YEe4oAd5mRuO0fSmhgzZxI2D07U7YAPlkz9eDR8wxuZiPTtQA5pWP3o1X6UinvnB9MUhLsflUcegApS0m0h2JHpigBS65+ZsfQUnmqV/ds7n/d6UgkVACzBD71J9oXewVN7dNwNIDxv4sNN/aNj85IAJwo7+5rzueMzKqLhTnPQ5/SvRPitvj1W1m+Xyyu3AODnOa8+vJmWAK0QG7o3Oa1jsTIjgiMQG4Fuec9hXvPw8jhXw6WibB3fMua8HthFlEVyfbPWvfvAtkqeGonWPLOSfSlIS3OjxL95YmZfY07eR9+KRfcimsshXaCkf1JpEs2Y/6xSf8Af4qCxzTRgf6ps9z60guYw20tg+lT7o402SAFugC9vxpERCpC4+Y9/WkAwyJnG8fTvSAOxyJwg/3aafIifmNnf/Y6CnM4deAEX3pgKQ54+0pIB6JmhpZUAUSQ5PYjFNzswVcj/d70m9QxZhk++OaAFEluhAaNfMI5Ic804W80uDbCFPfPJpY53UYSIFP7u3IpkgaQZKoo7nGKQBJZzEfvvs2R3LmmqkUYUyPGU7hMmliCb9giLJ3YjOamMcZGEjQD/azQAzZauCEJjTqcDGaaVtTLsjaU+rLkn86eVUdRn2UU5QUUskLKSMZPGKAFMEKMCss4b0lOaTEYI3iVyf4inFM8hTz5x3/7Q4pfJO0b7lj/ALKjj86AH+XcDBbhB2XimO8uQRKw9MLimGMKMieTPoaZtlILBiqj+IkHNMCRJXEh3bGfHDFQSPzphmAYsys8h4yccflQJeNpmMo/up/9apE2A4aJk/2X6mkAwlkIUFizDO0DmnqpC5fDqe2eRT90kKlDmIOfvEA59qQAStgy49wtADWMaYUFQp7Z6U4NH95TvIqMW0MeQJlkY9eoxT1t1VsoYgffIoAXf82fmJ+tNMyu23zCre4p32abIZjGwzzsbJp5WI8bwre9AEeWzhXYmmFJZHw8+z69fyqQ7F4Yt9VofyyMkEnHBNADFSNBtVFl9WYnrQVA+Ublz37UpaILyOv90nBpikciNZNp/KgBpDKcNKFGMYUEk09HiBJMbyntkDNN80j92GZM9cpSxtFnDSrKM9PL4oA+dvGuojU/GF9O0Trtk8vym9Bx1rDjj2XAeSIeX0KlufzrZ8WTB/F2p4iUqZzhM4HbHSsN9m4jzPLckD725VraOxDNC1gge6t43Oz96iMQhJ6jn0r6Xhh8u0jRbqTywAMBf6187+GlSDxVpjGK3kP2hQfNOQ2T6V9Iu0xPLAbeAqHH61MykQiCM/xEtn73cfSpCk0X3JGbPrgj9KjnlkKEvHJgkAvjINQoWbgfKD/ebH/6qzGPfaknlzSMxY/3cY+lKbOQAK1xA4HTz13H6damUo8PlSY8nqQH5J+tQGCyy4SMvnp5rZA/EUAEqLCB/o0RPpGNq0haVgF/suMJ/fTt+NSq/ltmG3i92VQB+dNN0JjlIo2YdiDkUARnIfmwXH98DOaY7ovJtJNh/iyOKnFzPGMPEhjPRMZx+dSLe3ABAMAB6LxnH4UAUAIh92SQjt81FXvtMneBQfYGimAu2BiPnwaHiYjEWD7k0xQmMICR6kU4ZHJB/CgBRC45Ylj9aUc8E4pvmZycgfWo2ljUHdluO3FAFhSF5BINLskbJaIsPXdVVZy+AkMgHuKlBcnO2Q9uOlICZVjiziFWY9cjOPpTWZWBCoA31poLDkKRTGkkwQYz9RQB5J8WYilxYM+SuWzz3rz2ee3ktwZvNXaMJlSQ3413nxY819Rs8r+4IIUqedx/+tXBTGaK3CJukhPVX6itY7CluN0+O1W6jkJdXyDtxxX0Z4bkgm8M2rRAqqgg8d8187Wsm67RvK2diAc1794OuMeGrYNbsm0kbh0PPWpkhLc2jKgX94+B6kdKcTE6jypFJ+vWj7TGSSYWlPtGTTldZPuwun0TFSUNVQDhxUnl25A3SEHsoNNJlX76HZ2OaUluykr6mgBw2xgqJQiemOtKr8/IwJHfFQlnK8LxSjzGIDJsUehFAEgefc2YPMz2VelIFuFBP2Y7e56YppNyq7k3bB/EeOKAZG+8zbeuT0NIBGumAx5TAdMhsUJdKDlYwD3Eg609SqnhwfXinmXeduUY9hxQBGbmRhgOmPypDJ5YwtwuT2zTzbzq3zOkYPYDNNaZIozGVjP/AE028imAgYv8n65p+1UBIcn2NREwsvzu7D/YwKQRnkjzFHbIoAk8zAwMUnnu/wB2LPue9KIhjPmktj+7jFBMmADK2fakAoEu3eyKB055puVA/ePsHcYpDE33sNnH3i/IojgOSWuAgH95eaAHrNEFOyQ9ONqf41EZmkBCkLg9XByf0oLBGJG4j+9wc/hT1jklUMNwA6DIoGIu4DLSI+f4RSFTJjZKsY75zin/ACg4LhTUTSRyHY8ckxzwASAKBDmigV/lmSQ9xzS5LfL+7UnpgAH9acF6bwVX0AxSJFCwdniYZ+6e5oAQRqOHlwfUkZ/SmssRJ2Slj37EVIsEePmXGKcTtAWMKoPUgUARb0X5SxyRwaTzdmAWB9eKeVAwB1PcrSNCS2c445IXNADDeIithTn0HeiO6eYYMZCnqfSpVRlGI4WJ9SBzTZDdcoi2+e+4dPxzTANoKqAH29Ad1Ljy1ZvJYqByeOP1qFYbhSwaMM3cocgD86z/ABG01v4Z1G4tY0EkUDFd8hByB2UUgPAdSvDc6vqE/wBnQyPcMyyEfd5/LFVJUYL5nlNg/MeVIP0FQ2q3LsqoknILZY/Ln1qHKvdOJnEZUbcJ/Ea2RBseHp2k8RadMiBit0jENjsRjntX0rNMFAQ7Y8nOQ2SfrXz78PNGOseM7ZGh/dQAyup6HHTOPfFfQ6HBw4jYdCV4zUTKQxZgqYC72HIDHI/AVG1w3ll51aJRySoyfpwKma3jU7w6kHpkBQf1NMKxBC7s/wAvXqcD2qRlfzIp0WUysAeiupBP4077Wq/KI9+PQ5H48U/yPMIaKeRh2XoKVZJ3YRSQux7MAAMfnSAYL3kArsbsCxA/PtTnuXiG82zYPUo55/SkZBBKMZ56+YAQKVVlXLpKvP8ACV70wED28vP2Xc/qx5FRk2+/aUJOeqg8e1TkXGds6qrNyNowP0preZCgiRsE9k5oAjN0gOMN/wB8GinrjaM9feigAUkHcWBwOCKUMWHUEU0BVb7vHuOtPG5/ukfQ0gAr8uAaWOTaeGGfp0pCsn+yB64p2X2YBUj1A6UwFMrr3BbucYApqyOSQWbB/u0h88DPmRMM9Mc0qyO5w7Y/3RSAeTx8rsvvjNIByWaUnjulG+IDAMmfzpN8JUgu4JPfpQB458WLqKTVLGBZG8xQztx93sK4B7yeOPYLgkf3sYrrviU7nxagD+agiBTjG3k9a4y6jZnMrKSvsOK1jsTIsaZMr3yAqZHJySK+jfDzOPDtorW4X5Puk1876HuXUoiq8E9BX0nYiV9Mt96bG8sZxipmESXz5EG1UeMezUp+0u37hQB6u/WopIrgjCxsAe+aYLa6VclmbuRmpKJ1t70ZM6IR2xIMUn2K4Zt2+EL6FjUYt2/jtZFHcljxQ0QQczhF9GNAEhidHwJl/wBwKf50+RSuNzbRTAmRhXYjttGM/jTfsSpgzeYzHtuzQAoabPDgj0JApskBZt77l5+6p5NOMAT/AFVvgerGl8ydRxCFUdW3daQDSA3y7Zox3+UY/Goz9nLbQLg47r3qZgZeQjhu5C9aAqxcM8ob/ZUUAN8tcACC4fHZiRT1EUXP2bax7HNIJcZHnOwP96mecR823IPvmmBJ5mSQsMYP94jGKc8shOC2R7d6jMw25BZmPUdhTRuc/d4+tAD9w3dBmnBsNkKpb3OMU0ozLgN9fmpvljordODuNADjHI7hiYkbtucn+VI8Nyw3grIfRTkU0+QmPNRHz2QcH60AYP7t2jzyFQA/pSAVFuznnB9Cv9KPJnYjzYnb0yuAaGgu5CD9sKj2TmpWjcABr2RvY8UANKSwrzbYI7BBUf2i8kJCFun3Qoz+lOVME/vXJHvU2+4KHySgx1yxFAFb/Tpelk4HoePx5qYRzxqPOkeJfU4qNmuHQrJcBB0+UH/GmCBYfmWGWVvVkJzQA/YkuQbgY9M4pRbMo+SSML6l6RHik+9EyFeqYxmh2c5+WPYf4dpYigA8qSPJaclfQNxTfNboGwTTdpyFWeEHP8Wcj8KsBZdhUPJuP0AxQA1kll48zIXqASKhkR9wUXMYB+8rcmnlB914G924BI9jmnC3tMbYo5Mjq7nmgCFkjVMfbRCDx8sBx+dYni5RF4S1Jo55JpDARuKhSR7Ct/7FbZLCJiw53b6xvFl/Fa+EdTaaSUfuWCqX2nJ6UAfOkW1Ijull391wQBT7PyvtTExfwE881HbTQCY+aZAvXrgmkDuzb41CIv3snt71sQer/CHT7afUb/UXNwgjTyo1RsAA8n69q9VYjO0IBxgM6ZJ/GvNvhDZxnSNQnbeY3m2rwMDAHI9+a9FEYA2iYN2G7Of0rOW5aF2sg/dbuOpBwBUbXkcbgsweTpkkmpSDGQyQkjvh/l/xp32q3Y4W3cMOvHFSBD5iBjLE7OGPSHGD9T2qSTyJUxNL/wBs3YfKfw603y3uHYYiiQfdd1GG+vr+VNNrb20e4i1kkPTyY8AfU0AEdqkZLR3BGe0Z4NOYRR4ygZj0YZyKVDKYw3lwBPQhRSJLMj/NbhSDj5m4PvmgBoZyeJAD23MMGkihmhy6zDcfvAnC/wD16dI0UkmZhFIPRmFNaKGVgEES44AAyRTAabZ3O4yICfQ0U8ae/ZpW91Awf1opATNK4XmQfhURnQNhz+J6UeT5hy1wqjuMHNMLLH0Kn9aYDhKrnhmH8qk8sbtxwR7UxZDzwBx1GDTwFccM7N6kYFADirY/jx/u8U0RqOSMn16UqkqPvHHoTRkE8H8KQDsjjpTmG9D0NR/L7ZppVZcr5u3igDxL4lgDxWhSQgNCvzFs45NcdeyIihY5gyt1UKetdf8AEuCGLxOhSXc0kQ3DrggmuLuHjWIgAlxwOOlax2Je5JpoJvE5wAeor6Q0WGMaDZhpmd/LGCDxXzpoyiS9jXGTkZ96+kdLt9mi2qrGMCMcA4IpSCO5a2XaJmKbaB6nmm/6ZnIkKt696jZljf7kuc/WnCWRyAFMYxxu61BQ8JfID/pAkJ6hn6fhSHYB+8txI564Gc0BpFIRSD6nH9aeuV5ck+ymgBC6hR5dr5R9c/0pGfIzuLH3pcH7zB8+gHSgHH3ULH1IxQAqgyDJJC+mac0UbLhuee3NRmN5DuaTygOgIzn6YpoDBsCZR9RQBIbdGclpXYf3SMD8xzR5CRj7sef9nv8AWmrHITujvUVTnI5OTTG3GUKsyyP7nGaQEi28RbJRF9yaeVljBMcKlB3HOfpUfkl8ho13eu/NCxPFlkjG/wBd1MAWZ2+9CV/3hQZCScxt+WBSFbgMDJOC3oFBxSSNcjghmHc4xgUAIMdAcD65oZ1iGdpJ9xSP9nRMgPIfYY5pUEO0EIR7E5/nSActyMfKxKHqMYoOyTGD5X+0Dk06T5yMSfJ6Ac0nl7ukbkewzQA37OycQTtIT3fimmzbzMtKd3c5qXypFHKEL6kVGI2wciQDsQ2B+VADmjWNR5aSSN3O6owksg+eF417lhinImzjMuD/AHKQ7mOESSQ9yT0+tAEvlxpHkFmHqMUqkSNl5GKj1bFRrCUJyq7vQE0pKAhTEJPbpmgCTzEkYhIGIH8W4n9aEdn+SKEtjrycfnULSuzhFtWTn7mQc04tdEeXHbiMf880YDNADy21Cq2sQYcYBqMW4AyszK/pkYH50RpeREhowo9GUU0L5jsq3GXH3lKgAUAOVJcEtchx6Ff8DTGJ2Ya3lKnvGhx+dSCCbfgqSM8YPWnNDOpABCDqVdicfjzQBXT7PHgRo4fPdya5T4mXIi8E3SGcoZGUDzMHdznA9OldiEAUZ8uQnnPNef8Axa3nwcpO0bLhGUjv1FC3EzxQlkVdoRz1yDnAqcTNI7MIUd2wMg9x2qtEJnBYqu0dNxwOuacfMIGV+9yMcCtiT3/4bwJa+C7cxIjeazO4MefmzyMe2MV1fmTEBmgMYA6KhH51x3wtuZ5/BkcPAaKVkWNB265J9ea7I3M0LDzG2lf4ST1rKW5Y4TSRqH8pXz/s4wKje4VyAYok5ySUNKsxd2cuDnt6VKXIHLOw9B2H1pAQ/bCXCloZFH3QDtx/jSs00rbkKIB+IqV/McbFIwfVuajbTriRcEFkPXLDH5UABfJzcReYvcgYz+NNdoCMrakAHouD+lA090ceYjtGvQFxgfhmh1OeImVPVeP1pgMZZZVOy3jCA88BTQI4HXCTw5HBV4/mX8qQ2sEo3+YHUf3mJ/rSO0SBRE8bgdFTP+FADzZOPu3cBHY5x+lFQlYSSTsB9M0UgLDMJW+4AfQA4pQxj+UQoT6gU9pGUdWx6CoxMxxk4B9qYD2IbloGjB/WmDCj5ZHUehFSLGrncGO4ep4pH8vOGYDFADA6t/ePvinBVJGGb8DTh5YIxkg+nFDOAeFbHrQApEWcEv8AXrStHsi+RNynuaaJFPHQ052Kxkq27PYmkB4R8Qrv/irZFI+5GoAA6df/AK9cdeP5mCN2B0zXV/EIFvGszekSdfx/xrm5XDQGEgDJ5Nax2Je5peDoI5NWhEmdrOB16fSvowRxW6oqzGNQuATzXzd4alhTVYwXOAwyF4NfSsMtt9mjcJg7Afm5qZBEjW6D5WO63Af9M6jy4bOVb3xzUpuoJjxIU99uaGO1dxfcP93BqCiEzOMlmdh7gU+NkYZJx9TQ1xIBhYT9ZAaTmQZMaoe+FoACWPSQlaQM5O0EficUg3KedhHoaf5yu4VohntjigA+SPrGMnvmmu0Q+/Fx/Onl9hBCM6+mwkD8aYLiJXALeTk9WB4pgMNyhcCOIpnqcGpVKEH5Ax65IpXubNRj7Ujt2wKYpByUulYDou2kA8LJJ02ge5qP7NcFiUljYg/dGR/Ol3SA/KjOfYUeVIDvLlc9gM/1oAUXF6uY/KXI9TSqbgDIIT/Z6ijdeBcrcKE6ACPmmGa5HErMT6gUwJPMukbJeMj0qJ7mYTY81Mn8KN7MQDBIxPcnIqcDaOI0WkBGrTYJkIPvmkyzJ8kmW7YOalaMn5hJGCOxJqMBFfcrpG3qBQA1RMRlpGz+VSGRcYMxJ9zShEYZlu42X3XFM+ywkkx3AB7YTNAB9qtwx3CQAdwc5pWmKj5CVXrQunyeWS96uD/CE60oWNVCsSB9M0AMa5VcK8uM+tAeKVv3bxlhzyCD+dSKU3EInA6Eio3Fup3ScN6hsUASfaC+FYyE+pHAp6jHzZDEjseRUP2mF02B8r7nNAiV1HlXLYHZVJoAlG3P/LTPucU0FXH+rRV/vAcn8aPKcgfOVPqy4qGWXnY8657YoAkkW4Y4t51cHtnHFNFvKON6A90D4/oaEtkKh1kmEmODu4P6UvkXH3llIB4LEDigBVs1hcSC8VJDyERsL9CTXEfFndN4UE8bFWhnXO1hx2zjv1rtDaaepJLtI3dmbpXKfEMWK+Br2KFXcMVy+zPcc/pR1EzwiaSMqBHK7sRu+fj8OO9J9olWJAUQrk7sDOKjTDbMjIU8jpkfWpnkRmAS32LnnHStiD2D4PPcy6TfiOWREaTdsHCjjtkYzXorbN3Mm3PVmIYn6dq8++EU8Z8O3bSTtkS/NGScIuOK9CS4hkj2IkDpngO3es5bmgNFyCskjAj+H5qEkdE2u7sB0BGP0pT8oyMRbupiJBNI8iwnLzNJ6KzgYqQGl4RklpVf0xwaajzgfMWQk/KVIOfw61KJVYBnVVWmq9uS3yMD2w2KYCHz8ZLPL9OMUnmOpyGZD3DITxTlkIJCoQPXGaGkLt8xG70Jx+lAEfnz/eKmZ+xAA/SpvPuVTdInJ/hwKZ5hyd0BX02jH60nk7V8x5CoHfIFADvtUp/5dl/ID+lFVDeKpx9oI9sf/WopAWknAbKoWoLSSDb5JCg/3ealWF2G4TRkd+aQgbsbt3tnimAhICgmFkHQEsP6UCCMkFo8t7HFBkkToq/gf8aaXkPJ/nmgBxAGQEwPrTMwngSAH65NPV3bgQsW+nFP8yX+5g/WgBkcUbDKXBJ9NuMUpgXYSZM/7tDSqB8yc9/emmUsCFTYD0yKQzwPx75cfjC6yGUFFOWJO7rzXJzeW7jYx98mu5+KdsYvEltNwPNiwccjg1wskcafNuGf7orWOxEtzb8MLDDqaHaGwc8jrX0ihWS2jdU+VlBAGK+XbW6jF9H9njeM5HVs/Wvorw9czah4ftJiWL7cFjgg81MgiazRqW3PGynsOAKYyKDkMSewNMKzAfwn1psbtu2rDK5H8QHFQUWdkwG51AXsXbr9KjYM54bA/wB2oi23/XpJkngkfpThJ7Hj2oAdscnCoS3bPFOYXIGCoQe3NMNwD3b02hTzTnaQD5rVth9WpgKk07rjc2B1O3FJ9okwFMYlA7kDim5kY4ZUUHoCSTSvKEwCxyOuB1oAd9qkYEHy1HfKAn+VC+UyBVhJbuUTFN8xF52yAY7qaTCSDcLhk9i1IB6yRgnM9xFjsgzmkPkZ3OZCPyJp+ICuPO3ntio/3Wfnj3Y6cmgB4lRfuxk+m6jz9gYvAhJ7Ypplt0I3MI2/u7c0qTo8mI5GDAc4HFMBwnkkGERkX07UhSQ8rJjHao5ZTn52P+NMjLOe4HrQBN0wS27HalK5HIUZ6ZoX7PH0j3P/AHic0jhX6yLk9AwzSAEto5D82CV/28CldyOFdcDgAc1H5MTHayqx/vBcCnpCqcqFA/2SaAGGOSQ4Epz6bcUrQvgK8gB9zStGqjJkyT2zTDADyI4VPYkZJ/GgCRIXQf69hx0Cj+dPA8sfwsT3xmq/2OS4+/d7FHotPjtWgV9l2N3YMmc/rQBKHdWwEjx67BQxydy7lPfaeKb+92jftJ9hTeMn5yD3z2pgOy5PzPx64zSKxQn5EK9z0NRjn7rhh7kiho3c4CqAep8z/GkArLdynzYdwXoBtzUMgnU4uvMbd/Achj+XQVK0arwHzx3NCxlVLMkrL/dVsfrQAC2lUAiKKOM8kDqfrXP/ABDeBfAmoGVV+VQEUHjORjgVtfKxzvlQk/daud+IMZg8D6jIk8W/AU+a2DjPb1NMGeCF0WAJ5JVgSQ2e1Qjy3OWnAI6KFJzV2FQ7rKrxu4GSpGcfpSR7WaRnaNB22jmtSD2P4QxQnw/dJFLbPP525llGcDAxxXoTB0XDRRE/3oo9orz/AOESqnhi4kMSuZJ2BDZXOAB1613jDy/miG3/AGQ3SspbljFjulHmxxxY7b1zT0ub4Ejy4U9WOBSnzpRltpPbJpGYqMyNnHZef5UgAN5hYzbCPfoabugQ7Sig9sf/AFqX7Vbk7XTp2YYpxePnYgjX2FMBweYjEZjRAO3OaaQxBeS6AUdfkGajeS2QfMEz/s5zSYlcjY0W30kpAPBgCg+dvz6jmk8uHIkMYkI/vOf5UqSbHwvk7u+IQf50zCMWctt56kCgCb7ay8KEQf3QelFNWWHaP30J9+KKAE+xlSW378elOChkK5ZCKazNuHzMWpM7TmSJmPsaAH+RGDuZ3z25owq4znn3609SW+YxquP71PL5HOPyoArs24YJcfRqAyKQAZBn+8c5qQpu+bzAuOgIFLweHKn8aAFCvGNySBTS5kf70ik9OKj3WoOH2EDsDTS1mSQp2nsTxQM8h+K8bHV7MsQkYUjeR3z0rzWXywcuV47DmvS/i0FWaxlX59rsN3JGK8zuH85AxA9uMVpHYiQWxIuC6sMdRmvefh7cs3hwKzMNrcenNeAQr86EGvdPhtKtxo0kXmHKHOAKJIS3O58mRgCZ/l64zTmlkCYjcDHB5qIWkjDFvw/cuaIoXTieRCw/u1mWPWV1QeYpZvUc0gudvUAA++KlUpnJlUY7E0omiQHaBuPGeppgL9qPADYB7baZuRnJQEn0LE0m6eTlGGfcUvlSNxuw3cgUgHbZipTy40Dfxk5oESKOJFB9FWozaSOcmTJ/3sUNayqP4VPYbutMAxyQZm/4Ead9ngbJaFZT7uKiaynzmTyto6/vMn8qe0MjBRCkSgfxMcEUgA2vlrlII4z/AHR/jTkjJP7zA9g1O+ySrz9oLA+gFMJUKACCe7EgUwHkQISVQ59TzTNwbhY9v/AcUo3IMpMo9utNbzgD5j5HYKKAJRI6fKpBz7c01pHUHfFhcdSeTUTNsAwrFvcHH51HsDsAclj70gJNyE5CSc9qasYcsSpA/WpUgRfvyYUdqUJG3CSALQA9UynEe3H8TPUZEbHDckehIpqxRsflOQD1ZqUxEH5SBjrQAFIyfkUA+p5oKIRzLID6DpTRtZvkO8j8KkKKf9ZkEdOaYDSYYhnbz6nmmCXevAKg924pwhIbeZFbHQA4pPLhkXzJrabJ6NzSAQI6jK+Y574WplnCDnpTFQRrvhEvPYnFRsZHbGYgPTODQBJ5rzMFjQD68Ch4pO8sa4/uqSKQeUFwI3Ljv/8AXpTJbRIfkk3+pbvQBAcSHasrTkdlHFSoskTBhEFx2f8Awp5nRUJ3hc+/NQma2YEvcP8AQEZpgOluCqEtCrE9GHFcd8SWZ/BV1LFCgUSIHYt8wG4dK60XTbRGoO0/3ua574gyGPwPfFJ9uFB+VcZ56c0gZ8/l8MQ5fp1z1p9oi/M7Bs7u57VG3mvgou4HpU0UEiqBIASx5AatkZnuHwqiYeCAUO+Vrh2OW4Xpx/n1rt/JlUBnjwP98GuI+FFpAfCEim6dGFw25V7HjpXZMkUBIEszA9W3VnLc0JJHYHBiyvrzioxcbfu28Yz/ABg4pVkRf9Qc+pkGRRNdhsAeWX9gKkB6FXBLpG5/2hmk3oGAWCKM/wCyMVF5snmjfHB5p5HOKRvsokxcuqzHpsyQfxoAsEXG0tgEH1IqL5V+Z8MfY0zaiNku5A/u5xUomRyT5Rx6mgBCFccOVHocc0MEUA4B+rYpBGrtmMpn6gUKwVuVJI/KgBBLagYdCW7mipNzNzkHPvRQA0P1JTn2NPEsaqCN49d3SovOTokRb1IBpwKnlkAHo1ADhKJOEZST70jPMgGYlK+tBW0zu+zkH+8tKZo8fKNw9M80ANWWRsDyoyPrzUoRD958N6Ypkk0Z2gQRoe+0nJpQHwP3SEeueaBigLnBCn8KfzjCwoT7im5CLgjBPbuak+QjBkkz/dOMUAeSfGFglrZZ2xuZOVToVx1ryqVMwj50c/7Nes/GERDTrV1QFxNtDK3PINeSeeBGpESgY645rSOxEhkciovEfzV7J8LMSWs4RmEhA4UZ4rxVZCcjseler/Cm6K3xXJG5CPlPU03sJbnq3kzE5kDAUGJi21VYg9x1pzea7dGAz/GcCpA7cnzuPVegrIsabe2i+8sisR1YgmlESY3tKVX8KVDC7n5mf3Y0N5AOAhOe4GaYB5pAwNmPUDGaaJ3HJjwv+yM5pwtogm95JVHoQKeJkCFE3fXFICFQ0rYZSq9cmlZiBtWNuOrKOKN0hPEcjD1AJqVGmYAGNto7+lMCNGf+GEsfU0FZlcZG4HrntUhYJnD5H6UxZZD/AAYFACMePmdlHsM1CzwA4WMyN6kYq2ZSOowaQXEg+66jPUkZoAiAkYARW8a/Q08GVfvkH2FI8gUn5sse+cCmhmfqy5/2TQA55U2kuSuO3rSLOCNqMg/DmgpFjJBZvUnNIkrOSgjRwOyjn86AF8tVPzAyN1y3SmuYyAD8v0p+yUnEUYH+y5wBSM8u7bKYg3ohzikAhhQgcqo9SaXyAh3KPO9i3FIFA5chvc9aQqjHKuWPZc4pgSbnYAG3Ea+uaaWUnaJEPtmlMKKcFgG7jfml2QL/AMs4wfXHNIBmVHKKo9SO9PZ5HHL7R6daeZ8/L8qqB0AqHzVkOY2PHUsMUABRQCwdifrxQpQRk+UznufSkcK335CEHUio9u9mWOdwq+nSmBLH8xISORD1LMSadiJeSgkf/aA4qHJRdrzk56BAT/LpQlraRJnypg3Xe7Hk/SgCbCSHlQB6gAU2QQqMBfMB6kimhvm2t5ePU5qT7S8XIEZHb5aQEW63jG75EPfIORXM/ES/gh8F3qrEH3gKGVOhPeurFw7clE57kZzXNfEUD/hB7/7S6bAo8tY2I5zxkd6AZ8/mSPyGJMn3hnaMAipY5dqRNGjDeflHU1EjWqxuFtHkbPDNKTjj0FQGZyU7BMYArYg93+FIll8LTmRhxdOSOpHAruFmijODIFGOcc1558JG8zw1ck7zuumYhPoOtd+81zAoZLYhDxnaKyluWPeWD+9LJ9FxQJLVR80Rx3wMGomuJ3kxiMP2yKd5s6cXCR5xnMfOaQEr3OBtFsjqemRk0kcjbdsdpGi9xuP9aYskYALM+TzylKRFLkDcrepoAGEyklfKj9lyTTFS4YbmC7Sf4yRS7SDt3En1pskQYgMeT/tGgBzxxqDkwqP9nvRGn2hNisigdW6E03yo0bk/nSvDCxw04GfQYoAkFsyDbvTj0FFQm3s88vKT/sniigCwbza2zCoB7c1H9pRzkbjnvilIgUAAxsf9rrTs4XOEz2xQBHvOMhmA/wB6pF8lsEw/N6k/1pDI7L91fxpGUscbk2/lQBIZhGxZQoP50nm7xucsd39xRg0wLa8h3T6dTSbbFQBuf2CigCTaCe+D6EGhoEYnMgjUfmaQSWw+6V+u3mjCOfkdifTFAHm/xXSNPDqeSNxWdW3Hp3rxx5keHBK59AK9k+LSzHQokMZZTMvzBuB16142IE2MGlRSB39K0jsTIgXb07V6N8MZEg1lByxOQoU9682UA8K2cV6J8NfLfXLfaGABJPPem9iUe3NKDjfxnsaCY2ONoUj0GRTHmKtzyB2AphuJnO1UznoCKyNBzOpIwTn0oEuw7tpJ9qettfsPuQqPUtSm3MJy0qlh6cimBH57v9+J8e4pxuIMbPsylj0I605WlkBBdNvfmlzFGPnTPuR/WkA9dwUhQFPYUjBmXEjtz1wageSPcSsioAO/NORi3PmK3sKAHBZgf3RCqv8AERmglx80spY9gFpdzvkb9uO3rTQypnjd60wDtnYzA+lBjRMHDA+hOaUsGO4b8/72BSfulclmwfSkA5YI2G5yrf7JBokRQQFAUegNJhSD85ANIWjj4JJ9aYDliBy2cY96QtJjG4Y9hSCW3fpIVxyeKRmJOUDFfU0AMEUsxOJiMelSeQ6rguv1JpvmRRkB3KsfSpFeLGdxb0zxSAY3lxgFpUx6YJzQqRvxtXHoBigyR+YP3e5x93HShnnkO1oyeOQp6UwH+SmBgjAo8iNzu7jpzTCQoIOVA6imLPC3HDAdQDQBK8dvsG/DHPYmk2WzYIfOOMFqcJYiMbR9DSbmGRGkf0xgUAIUiJG50C+hPaleeEsFSLei9lNNYyrgyCJlP8K/1qN3xEY9jIM5OPl/lSAmM0YfK28iA9aZ58g5Eo2N0U43ChboswygJAx65pJLhFGWtlYZx0zQA4MZECNuUDuFGaQwRleeSPzprTQk4VWz6KKTc8gxgj2JxQAu+RRjaI0/WsDx3bS33g2/jDYxEX+91A5xW95oQcpluxrM8QXBTw5qLE7MwN8zDpxTBnzepAhBjOBnPWpJBvSPLKxI6IOlQKSEAwCMfSnAbmUqSuD2rUg9i+DV1qJs7/Tg4jijIddxwRnt/OvS1M6SYMyH2ryX4SI02q6nJLI+8IuH9j7V60yxoMCQk+uMH8qzluWiZliAJLR7j6iqrT2yvs3IH77AeacoRfnjiEh7mQmhrgkbA23J/wBWig1ICiSPerPFM4Hq3FK5WQBlQKO5Zv8ACmAhZM7JVf8A2/u01pVU/Od3sENAAxYZ2SQ57Ak0o3nkzeXLjseoqI3BZgoiRAP4mTOfypxdgzMhXae2KAFJjQjdISx6kpS+Wu3IaKRD13Dn9aYJo5MA78jgiNCaRTJyuZNn+7zQA/fIOATj/dopP368LJNjtlVooACoz8kKk+rNzTyoByVAPcK1LvyOYxQJCGI2L+lADCXIyZEVT2INCRtu7NnuuTUjOxHypz2yOKau4nEvy+3rTAeCi5CykfRR/OlVyoJTLfWk8pD8q8fnUfzMxCI20dweKQD1kmY5SNvwxSlpFIUIRnqacfOK/wCsRT9KVBIF+bDHP50AedfFW1kuNA3qx2xSBiC2OPWvGPJWSNswjcf4+eP6V7p8TTIvhifYqgbl3fTNeKyMhRQrsExyCc/hWkRSM1IlGWDgEHkV2/w/J/ty1AYod2CV4NcP5LK7M3U9FFehfDeSKLXITMqlGOAGGeabIPbGYAYinkYjjJxTRHxl85PehpoySUiVcdCBio91yeVAYemcVkaDpIFBwpceuDSpEE4HX360qy7TmSIj1y2aUSo5yioB64pgDKCBlBx3xTkchehz2FMymcglj6CnbpOrKV9jQA9XuX4WEbf7xxTmhYgEgbvoBTcswzn8jTSSo3M3A96AApIBuDBSO4waQGVcYy+acHjwCDz7inb2ByZBGKQCBm6mI7e/PSlXywxbaxX3GaAzEnZcq59MdKX5xwx4/nTAbuiH3IyCe5BpFYox2JuJpXfnYBj3z1pmZgRjanPXrQASSzLgmM/linZllxlkA/3sYoZpMEySDHYZ6/hR5e+Pc8a5z260AOQWqyZI3SDvuzimyQ20hyylse2aPLYLgJtX1bvSBCucP09qAF37cJFHhu25CBTf37KVZh/wHijzpXcBZOnfPSlPDktOC3ovWgCIPEX2GRtw7ZzUrLngqrL/AL5WnKTEuGyQfXvSiZjlIkIPqR1oAi+xQZLgs+eSrE4/CnJ9njAC2zqG6YHWnFmzgRFZO/zZyaX/AEwYVhtJ6ZYGkAzNuxPlpsz7CjzipCLB5oP8RFOMKqo/cJv7kkZ/OhvPjAKxW4UdW3AmgBGZSmAVib0C/wCFNjnVBuVC5/2lwKaXgll3M8qkdlGM0Kz+Z/rV2A9COaAH/a3PzLEQR/d7VG14zY3KoPqy5p8jl8/vCwI46DH0qORljjBL57YNAD9olIbzAuOypWb4ml2+GNR/eKgMLAkgAdPerK3Ck/6st/umszxRJA3hi/NxhIhCx2NnOR0/WmgPncSmQEyEL7HiokYtIVA4Y8Yo2zGNSw/dnoSOtKu5n8sIBzxWpmerfBl2iuNXhZOQqNnH1716qJTI2BGxP0ry74NQPFJqu4bSdgJByR1r1EsoyQJXYdAcAVnLc0QhJDcoaep2cuUQehbBphkmkG2R4o1H8Jbn+VRNKUkARo3Y/wAOSTUgWN6ucIvP958n8qaZXiywlBOcdOabsfkPEeTnCnpUbefBzHHj8M/rQBP9rfywWlYg9iQKZ5sW4FrdXJ6bcnNJtuMhmtEcD7zBxx+BqNrgpIWOIwOwoAkFxl9sahePXBoEjDlzu9MGoxciVdyxgr3YkUucchVLetAEv2pRwSB9aKiLsDykZ/CigB3lxofnuhz6KaSSKBxjzJD/ALpxmlBG3BTI9h1poMY6xEH/AHqYAsJTBDv+fSpFZFOSST3J60ilQcBwhPbGc1IJQvZifUJgUgEE4Oflp4lfGFOB3GKFdsls/hSeVvOWPJ60AAd/VacCcgbzn26UGLYMkLjtzSY56Y+hoA5nx3Aj+GL7eqP+6JAJ5zXz7kEKAhY4B5PSvoLxvGZPDV6ihGPlk5ckY4rwQzkWyKpAJ4z16VcBSKMay3UhUL0P0rvvh4UGv2+Sp5xg1wqzsjMi4APJOOprs/AKEa/As0fKyA7d2KpkHur25dvlG3HvTdix8NtJHXJyac6Bj98j2zUaqsSnKqffvWRoKZABlYwfZhSZlbA2oo9M4pyOeoUt7AUuWxuKsM9jxQAgLp/AwPsc0FXYbiTn3pC85HydPQ0ipNj5yQx6DNMBxGfvMQ31wKb5fzhgR09ak8uUcMv45p/lgjqoPvxQBEQ5P3jz3zTQkYOSN2OoA4qQWy53Fzg9gaXCxfdZgv1oAQIhGFCoPQDFNaLGcyHntT3jWVR0phCwkALjH5mgBoiRAqqWz/Ex9aC8anGyVmHQ44ppdUXjcx96k8xtmPLx9aQDFuHUny1B9T3FSLIzc79p+tNG4n5gB+PFRmOAEmQMf9x6YEjMCc+Yx/Go8qPvAnvSLFbL0+U/7RJoLP5mFf5cdMYoAUrJJ94KEPvzS+b5HyJCXGOpBpJJyvICMPY1Mslxjh0A7d6QEYmDxlirqR/DjJpFa6nwUinVemSQtOeWbK/MykdWC5z+VPMt22CZhtHZjgn6UANG4OSI3b1yc0SMwGTC6nvtxzTgL4rl4QoPTDZ/lSbLg8OynPY0ANHQsttMpbqxYGpFgmI+RMZ6bu9Ma3R+DKsfOQETBH60fZpD80jOyngA8EmgCbyrheJJIV4wNq5xUTO8KkSgSqDgSIuM/hTTAqHdO3l+ibsH8zUnmDhU3bR3dh/gKAGbYCQVYjPXdQxiiOTID7daXyEb5i6sT2zTWtgG+YAY9KdgA3cfAVuR6DFc38RL1IPA1/klvMUJx2JNdQAv3UhIbHBPeuN+KMFxN4LuWLou1ldlHoD0zQtwZ4RM5SJAZVfHIC9qZGwDB2OCTn6U+RzKhU7VUD7qgZFVQnmSBCSAK1Mz2/4StC1tqClFXLKxdG+Y/h6V6MzQAYU4Hq3WvJfg2oF3qEQJbKKST6Zr1t0ZX+WOPA7sM1nLc0Q1QM5ypHbA5/OpVmu41IjdQG496j2yu2cdf7oximcIMGRh2yetSAMjs+WeNWx95gefwoRZIyTFJIT3Knj8qXZARuWWSQ9wx6U0LM5zFIip7ZJoAXzs5Ep3n3HSj9ywAJPP948UwxL5nzTAt7A01oIXJEkh/DvQBPy3CNGBnlqR3CnaFDf7VVy6oQiISB70pIc/cwPagB5LZ5hOf96igWasMmSXJ9GopgRCcM3GRIemOlSBN5zIxz396nETKSPNjI9jSGB8Es649jQBDuhUnIyfUCgTuAVhDH1OMYqcKi8bCzepNSpKq/wjH0x+tICuEmkw5lZcdgKlXzcYK4z39aczo+OXHtupMjPfHqTQA1oZVwXkBzzjB4pcAYzjNBZCeXLY7ClBU8hSAaAMLxYsX9g3Rmk2ReUwZj7ivmw3DhPs6sNik4yK+ivGqO2g3aKvmboyAp9a+dPNeIlSqoynGdoJq4CkQhwGyTnFb3h3Wk06+FxzkHJHrWG0LONyo7DudppmGRtqgg96og90i+KulNADJbMz45IbpUa/FqwDHFmOPu4k/wDrV4f8/Kg5NTRq3RsDPtRyofMz2K5+L0ayB4rRDgZGXPFZw+LmpLI0phtigOcFSc15oMBduDihxvAB4HpRyod2d63xc1ieaSRY4Yh/Cix5H86p3HxR153AWUR+uEFcfs+TCqM1Fs5IKr8vPNOyFdnUHx74gnkaQ6hKMnorbQPwqP8A4TrWSSPttzggjO+sBWKruQAfSmAMULMpwDnNFguzpYfHmsxxoI7+XYvAUuRgVY/4WRr4ztv+vY81ygJcDLL7A0fvHVSvl7eucYPvRYLs6qP4j+IIjn7Vn2IFX4vidr6KSZISPRgprhWhVyA7Mc9OOlPjiEYGQpAJ5DA0WQXZ3J+LWtR8YgLA53eXVpfi/qbxfvLe3LH+JlPX8688kELS+YuMgcjHH5VEGDDDAcdqOVBc9Ri+L1wsiCfT4Sncq1W/+FwxOfk08EA84Pb8q8hfGflWndAM9aXKguezQfFnS5AWnt3ixUTfFzTCDi0kJHT5hXjxyw25z7GlC7RgKPwFHKg5j14fGXT1Yt9im3KuUUEYzVaf4xLI+Y9LfH+1JXlQKn5RHhvWlJ3elLlQXZ6S3xivIwfJsVRt+QDk/L6Goh8YNcmcqlpbBOeShGPxzXAglVAHB9fSmbsAR+YxOOcCnyoLs7Wf4neJ7hVECxRBBy6g/MR9apXfxH8SXkLJNdrEuPm8sbSfpXJcBgilz65qR7dmmTMQII4DNj8adgudIPiB4gCADUZo1AwPmHOKryeMdfvXSWTUrjfBzGA5GDWLPtGIWtoYwD94Nz+ZqMbUDSIwZj/DnigLmjdavq1wGmlv7liTn5nJqNdcu+Wa/udzcEeYaqI8wiaNkBTGcZ6U3zpVYIbck54yKNAuai65fhgy3d8D1X5+M1Zj8W6rFcl11e9bvw3GfcVjst5JGF8nYvckikghUbgz7UXhmHOKAudDaeO/EtvMZIr+SbnO2Rs/oah1TxxrmuW/kXs0bQEncuBzWF9kQgm3EshB6lcA1S8t0cgqeDyPSgLsmMskSM4UYPGSKhjHmy46E1LcXIkiWFM7Bzj3qHBZkHIoEes/BqGCG91IzzOspQKqjuM5zXsB5PViD3xXzl4K8QyaDryzCCSfepjVDwCT0NfRcDTy2sMsiiN2QFlByAfTNZy3LWw7y5ANyyoq9y/X8BTDNgkFM47kdaRvM3fMpOTSsW4JiJx74qRgknJ4C5/2c0qgsd2QFHYCoTPJkqsLqPzpzPO4AGGPTHSgCYqh5KAmo/LaQn90D701PPwEEBVvVmpm27CEmTAzzgdqAHhBHkOoWmhyclXjI/I0zbblslZGPcljT9kWOMR4755oAQGcjIAopmYx1muPwx/hRQBMuUUAAfhRsLcs3HpTiABzJ+GKayW+Q67mfHJJ6fhQAgRsnBYe/anmCaQD97n2NIMMudxPtTAsjf6sZHruwBTAkWFY8mQ4YdgwNOCF+uQPp1pgW5HDSRAewz+tPIuDgowfHYCkAKiqMBSqg9cUpWVjnapUdDimOJ252cfWhPNH/LJ8e3NMDF8TW91d6TPFbRMZGQjnivnS7sZbG8kt7lXhdWz84r6peJZAFkzj0FcV4x8I6dewTXa6f9ru0Q7FEhBP5UJ2Bq54QwEyMwldWX+FehqHbkgSOVJ/i25xW3L4d1Uyfu9Fu1RucbC2PxxWrpHgDxBfXLKLJ4kGCXmYoP8A9dXcixxpURSjDbh/eAx/OnCTc3GeOOle/aB8ONL02Nbm9hEtyRzkBgK6KLRdJUDbb25CnIBiHFLmGkfNCJK/CROx7YQnP6VYh068fJayuiOn+qbivpgW0aoFiiTHUDhf6VOscSIA0abz2Un+dHOPlPnK08Maxe5+z6Zc47F8L/OtCH4eeIJCQ1gg93mHNe+YHGTGMc4JpRg4YJk+o5FLmYWPEoPhZrlzk7ra2wMBSSc1PF8HtblQNLf28eDyhBI/MCvZmQtyQ3HcUoV1HBJ9sVPMwseMn4Rav0+1WY9CoapYvhBqgjEs2pW6yE8qqE8V7GC+3laaF2neke5j3J6U+ZhZHiUnwu8RxzE289s65OCMjj34NZ83w28TJI48iJwuMMH+9n0r3triQNtTeT0KquRQ63IH+raI+vABo5mFjwKP4deJVLMtlGQBypmAJqhF4U13zmK6TK2wkHA44/mK+iXjmI58uQHtTfs5J8sRiMdzvzinzsOU+cNQ0nUtNw15YyZcZAVDgfjWXJbzu2RA6H0IP8q+o/sduBmeIS4Oclf5U1rSKdt8NtHGem5h2p84cp8vPZXcCLJLBKsZ6MVwDSDLH5I3YDlh0r6el0mCZPLmjjcf7vFQHQdIRwZbOF3AwG2cgen0o5hWPm2GGfyBMIJCJMqhCE5PtSfYLjzREIrnzG/h8kjNfTa2enRhI1swqqPlG0AD6VYEVvjcLYAk/e60ucOU+bbjwxrdukLPplyqyfdxyfxx0pf+Eb1kxM66VIzDksecAV9IOkZOTuJ9NmKcsQb5RGqlu+3NLnY7Hzx/whfiIFP+JRgtg8EdPwq9B8PfEF5MGksvJQfKG3rn8K988lEGAyKemSP6UK8akk4ye4GKfMwseIp8IdbnQvNcRJ2w7k/yFaGm/B2V5it7qyeQBwIhhs/lXrpeJx98AelJJJaoAruuewBo5mFjzuz+EGjxyMJ9RunGPu7sf0qSf4RaVLIhW+lijXsX3Ej8a75J2cfLAhHY5OaR1duCgX360rhY85uPg5aOf9H1ScL2G1Saz5PgnfoHMGrQEMRhZB298d69XaJo8STTdeg45/IUIwcZ2MB6nvRdhY8S1L4WeJbBFWKSGcM20CMkde9czqXhHWtHk23NpIwJA3RqSCfrX0spAB+UH603aD/yxQD2HNPmYWPlFma2doGhKyKcMHHINT28qg58td+TweK+jLnwfoN9dSTT6ZE8znLOxOSfwrN/4Vd4Ujk857Qk5Jx5jYH4Zp8wuU8Z0Kx1TU9Ut206AmRWDM+MqnPWvo7TI5ItMgS6l824VRvfpk/SodN0rSNIhEWn2cSDvgc1cKIz7gpWpbuUkPM0o+6Bt9TUYdWO4hifyFSBgAe9M3SOwKv5a/3cUgF+0ALgRsMUhZ1DSGPg9B/FTXa43lfNVlJyWJ5FK5Kt87h/p/8AWoArtcOekMjH27UiT3xIAg+U9ulWo5BsO18sP4Rwae1w5UKcKCM8jFAFZ1uJAFljMSd3yDikEFgWwszuw6szUBkkYr5nm46qDxSC3jUkiEEn+9imApjjzxcOB7UVIFUDGIR7E0UgGFlY9c/Sno4HAAz/ALQpMOU3PtHoKU+YRgbPxFADiBjOEOfypC4HdPwFQmP5+Tz9alVVQckH8aAEMgI6k01S/wDf/Kn7lY/LET69qY021sLGB2pgSB/RmJ71IJm28BsepNV0DOxyCv0NTCJf4mYH3NAChj15c9hiniK4ZfmSJB6tjNJ5RAzvNJshIy7sT70ABhRQd0gJ/wBmn7kXgL+tR/6MvQsW9D0ppkDE/LknoAppAS5VOdqqfpQxbALKq9+BTNzAYKlT70u15BguqD+8eaAF8pux3Ht2NKLaUjlvL55J5NARR/y3Yn1AxSMijOdze5NADyiqpVk8w+u6mMSMBIgnuDmmn0AApMMeFHNAEg3rySR9Rik2TyH5GTHpULq3+2x/OjzJguPLIPYHqaAHNFJnM0iIOgXfz+lP2Kv3WH65psTEja0Xze4/rQd5bCqEPtQA4SeVztb8BSb5pxuCYX1I5pQxX7zEketNbe+Myc9h2FACBXZvvBQO9LtVf4mz6gUGMAfPKx/3RSjOAyPwOzDmgCIuVOMPjpk0ZlGdu7b6tUpa6kGQke0d2xQ94IsKUVx7HpQA0SMvX5jSiXqNwBPoM1G10pP+pQH3GacHIIwyAnvjAFMBz8EAMG9cimg/NlSRjvnFNWZCSvmMzdyozSlN4H3j+NIB3mOp6of940ZlkyFj3Z7qwFKCo+VpE6chjTGbAzlQvqucUAJ9kWMlpF5Pq5pASB9w49etAOWURLGx7tj+tStlCd5UH2PWgBnlSOeAMY67cU5V8o/PG0gPTjFNM4RWZ4JpRjgq2BSBrZlBFrIGP+1/jQA91Rs4iaP2B5pigqTgn/d3ZNOKZ+Ylx6DIxQPk+8CB68UxAkhDHCsGH96nNKBkmNXJ65FI0sXlkqSzZGdooBcrkAj6ikMAysPuogoGQeDSjj7y/jik3c5WJ2pgPEjgYJBFN3KSCylvpTTzjIK+uaQPGp/1ox6AUASHYRwgX8KQkEAZ59c0LuwdrjHvTGTuSH9aQDzGAcZ/I4pGT/eCnrg0whv4VwPXOabkKNu4n1yaAFeOxhHybi5HJZiaECSrvVljAPYdaPN6MyLgdMCm4Rm3BSD6dqYCm5CAhFMrfTFCu7nLW75PUM2aVpkjXlQHPt1qImOVcSXGDnOEbGKAJi8cZ+S3WP1IpGkX+IjJ6UweTHhFR5s+pzSlhnAiUfrigBVtotoyXJ9aKPLkPIlIooAkV8ZBk3D8BQXXHzOo/GjyGzkwxAf72aXy92eEApARmVBxGNx9hRjoXBPsSakbyoxjK59qaWHAIJz0xTAT9wTh4Gx60M0C/KqyEfSglOcv+ZpwdEjOwlj6UARCc5xHE3HrUgkmY/eX8qDLKQAkLc9T0pUikyc9uck8CgBwkPRqdu3ccVHt575pGdVPO4D2oAlBB64+lK0pxtRQPc1AZFQcA59CKVXcjezbV7DPWgCUhsZYqW+lNx8vEXJ6HNJvJx8xxTW2k8yMv0oAGjYj/wCvTlGBjkmmDYflUknuak2MBwwAoAU5X+LNAao/nQ43qRQrsTwd34UATbj26e1J5jg5C59zTRkGlLev86AEZp3BGzb71Hi5DYPP41MQ+MhiB7c0F0+6zPn24oAZhyRhST9KRnXO1sL708ADOA2f9/rQNqn/AFZHu+DSARVOQ4lPtgYqN2ZpAVbI7k4Gak8gSMWe6AH90DGKQrAMkT8jpgYzQA0tFI3lsZgx456fypFtSHwix/8AAmphYZJA/E80oillBK3Kpnjb0oAkY7G25iLDsi1HtfPzLnnowwKeIPs+MTrI/wDdRc4qQrJIMyOF9sUwGBLgqQDFDH7DNBG3GHDY9sUjMwAUQMw/vHjFCQjG44I67cZP60gGRyl3O2VYcfxFM1KJ0jOfOE7ntjP6U77WFTy0iVV9ABj8aav2fBZtwYf88+KABpncZEeP9kCo/MBIzaswHBO3pTwGHK5ZSehPP408vI2AgIA7DgUAMiRFU5kdD/CvUCpA0m3BnJb2TH60yTeSFJ6e9IQ/bnjt1oAGDJzuBJ65FMR5N7FYt5A4PYUvkS43HaR3Bbn8qT94F/dqPcetAD/tVwDwqD3JpvnTM2HmBPoBT8OVwSqHOcU1nZF4Vd3Yg5JoAfiVhtVkHu1N8mdeHnLeygcVCq3DBi0xHrjFKsce0mSd2H+e9AA0RAxEXkkP945FMME+QJTGB7VJuCHbH8o9m5pxG35vK8werGgBiLG/y549jT/IZV+WYf7u2gsc8Lj2pCcEYVh74oAAkakgn5uhx2puyJWxGwJ75pfKGNyhWPfPemks2QY9gH91c0AShgPu5OOmKH2v99vzquLcSE/NLntTks5OQjuxHYrTAkFtaKCodEPf5M/rTZEs1CqJAz9OBnNHlOoIZc46j0pvmxp9yI59jQA/cQCPLRfQZ3UwxpAN5LAkdKdkMQJE2L67+aaRCrbY7cy56nccmgCLYr/MH6+pNFP8v102bPtJRSAlZVj6SsQPWmv5Dc5J96cI2J56ehFDrGrDcMD2FAEDJbr8y7zJ2G2pldwo3VIpiDZRZs/Tih3Z22qjfWmA0IhG5s/hSqcZCtIfx4pGt3+9+8H1xSDco6sPUkUAOEjA/fIx7U7IkGBK2fpTDE8h5mKr6AUzY8Iyzbx9OaAJgCfl6/jSkFOF+X6UxFeRcnctG1157e9ADiUwNxJbOd1P2qcZAP8AvCoA29QAQU+negrGnOw+xz0oAsOyAfMPxpn7nILEY+tRE7hgjilWNP7o/GgCYGLP7tEHvSbAeWIP0NRmNAMhwB6AUbA3Q0ASeWmcMRT26DagCj0NQ+WyLyc00wgjOTmgCUfMepzSHrzjij7oxkDPqKTr3xQAbcnKPgH1NMMbBv8AWkc87RmnGNXJZ5SfrQEVP9XKze2KAEMKyDLSujA8U0KUzukZh2yMU7JBG8g06QCQj94AT2xQBC8YYcBFJ7lqYLcg8yD/AIBzVhUliBKxYz0LHOf8KPOvJCIwkKk/xE80gEMcigKCCO2RimtC7OAZUQDnheae1ixy0t8zP6KSKcH8pdjOdo75BNADEt2IP+l+WAfvMBSSRGM4kn3jPUd6V5t3Rj9MYNKBCDuKsW/2s0AQ/wCjK2Ykct3YsT+lOdw7BUCIn8R7mnu+5isMSsfrgCm+UgyJJCj/ANwdD9DQAoMe3BhJA7gU/eT92NkHuKAsR4zhetNwpJCoSB0PagB2XUZ5GfWkBDfwkkdKUqQcYpQjnorD6EUAJhT/AKwN+BoAjTPlrtJ7k5ocsnLxgjtk5qPeMYx9AaAJGEpQbnUj8qcDKg3BwPpURdc8tg981EbobsKC2PWgCZkMhLO6DPYNzSq6oCkTqpPUk5qETuzHNttGcZI604/ZjwYDn0CUAPdtq8vnHoage6jLBdhY/TpTl2Jylg+PUtj9KnSck/dCewXFMBgww/eTFAf9kUhEcZxHI7Z7mnsdzHJA+tAXYuYyS3qOlIBEUk5PI+tDRoBnzNvtmmh2AO98n6VGzRryzEgegoAf5RLctgdjS7owMGbHNJullwVjAi9WNL5Y/hhRx/skUwEyC/8Ao7O7D260/ddMNsrMo9jz+dPJj4UqUb2OMVC8cedpuyf9nOaQDpJhH8rBiO5pRIsi5EW73NN2xoAGfP1FNIdfuA7T/c6UwHtuYkCEED0IFJul6GREHdck01RuHJYEe9Owy/eiyPUEUAH2dW5N3g+gZqKYY4ickv8AnRQA9p487TKQfQYoy/8AyzIH+0aUqxz5cOKjCruwxOfQikA7Eh+8d3rzilDnO0FVx3yaQ4HQ5+lR+SFGWlzn+FeTQA8+X97zMnthjS+Z8mGkI+ppmBJhVyq/7Q61IIFQjJ59SM0wANGF+Rtx9TRmTGM/980EMO5I9hijBIwR+dADlLgZZs+goYqCN5xTNwX+AAjvnIpfNHrn2oAViCAGd/bApNmerkD3oUzEHahUe9Jt+bklqAH7YwPlJalDo2QQaaWI5CYFIGZui0gH4j96TGPuDigDauSuT70nmM/3VP5UAOCOx6gUzDK3LZoIbr56KPRhTiynjzPxFMAYue2frTBHcO5AGxAOp704hQDieMn1PFIUEhC/bSD6DmkA0+aCAIw+OMmnDcg3Fce1OFtIFG10lx0LDGKaIbsNzLHGvsATQA3yp5G3CFyPepVt32li20jt1pCkinH2kY9WH+FNaMoozc7yf7pxTATyPm5ZmY+jGpFgXkOzgDnaSefxpqpdfwzH8etJsuH4d1A9c80ASPawuAGIT33Ej8ajeG1hcBGEhPXGeKQoARmRR9QeaX7Mzfcmjx60gJGcE4VFROxFQs6o38THt83FSCARjBlVmPfORSSbIlxJsOeOlAEZmRmAY7W6naOlPPlZB8/BAwAADSxiFCRHIM9wqZH61IrOSQJFb/tnigCJYlb5hI7Z9RxTg3l84PNSESqu5tmPRnxUDs+7OwH6GgB5ZnbJLD6UpBJIBbPrSbro4AHJ9FpP37ZVQ3uSMUAOWKVTvLMxHf0p4MmPlKhj3PameRKMfvMUG2jyVmBJP+1xQAx3lHyv5MrdQQckUBpQnmSbIj2xUqwW9sCYQOeTtOKiK+cxYMM+hNADy07gFGyuPvGkL3BYZlxjsADTfJRT/rF3ezUCXBxIdo7YXk0ASfaJVIVS/wBVHNDrLOR+/c4/vc00iN+Qz+nNKVOPlJ5HrigBPs68+bIX9sUuwBcKzgegOBTQUjHzyFvxzQreYThSBQAHG3nJzUfys210Gz+81SGRc/6vJHoc04zED7nH+7zTAjMETgDeqIPRc1J5dqrHktx0HSmECTltw9qNuxAI0DnuSaAGgWw3bmIGewpyxQgcTMinp8vNNJZSCUTGOeKJCsgy6jHakBISsALpudvXg0I7sMqkuO5bGKiVhu7KO2TT2yTwwx7UwJGV3wEXJqF45ifnG36A80oSRTkSmkM0mdpbNAChMDBoqJpbkHAizRQBK32lG3HAPpnNKsty/WJdtKEYknzRj2p+wlcF6AG7pQOY1P0IpGHRjEEPqDSmAAZ3jNIMA5POKAGOpPPb605INoyYjz3JpjSIx+Xex9hTvLJHKyE+xoAc/lIBuiBI79cUxZS7DqAO1SKnlj+L8TTmaHGRkfQcmgBM56KR+FGwYzyT/KmeapHyuw9jSBiRkbz+HFADsHPJNOxjvikBcjJYD2o8qNmy7cUgF8otyHyfelCsOrg49BTXZRwh6elNBcjIjb8eKAH9T93ND72GwbVHrSYcD5uPxpNgA46+rNQAqwKBnGW7k0GGMtkxrn1pG8wEYO76U3EvJCtkevSgBzRQqMttPsQKVWJUBVhAH91KRHlQgvGhPY4JpS0rMeFH6UAIU4yxb86cirgkPmmgtnnb/OnMkwOXMca9snk/hTAXYx54YehqPaC3ywEAenAow5yVy3+5yKGS4C/M0ZyOm7kfrQAjPJCc+S3PfFAeSdSRG+3OCVPNOjllz8j7l9COM0rESZMg+b/YbANICItPvO23BA6B6M3BYl44kB7DoKX7RsHynd/s+lOM7SDLowx6ACmA4RMyAho19dqnNKLRVzmVufTB/nTBPJIflJHruamusJPzrk+ozSAeLW3VtyzSD3BHFBgtpHOLiSQ4/wCWuT+WKTbBG37tic/3k4p28keX5gVfULQAvkKBhXz9RSB9gC+crN6heKUAgEBS4+lN2MDkW5Oeh4xQA1ncPu85gvril80uRsld/crtqUecvzEJFj6Emo3LSHc02fbFAERx5mfMbcOmWo3SE7QAT65qRIxI2D19TxUqJAiblmUH1Cg0wK6pMB8ytsPVjxUnl45WQlT0yopcxS8SeY47BhgfzpwWFWwwwoH3UNICuYI4yZJHI/3P/r0qvbP2mY9ianDwxjb5eRnjPP60PKnSOFB+GaYETOnDLI+T/eHFIsQGXeZ3z2A6Uv2poiGEKMR0wKBL5o3shBJ5FIALR4yByKPlbq2eelMMLudxwAaeYguCi4YDr1oAF8tT9w/QGn/KMsvDD3qFEmDFnkXqMLjmmOS8mxFDOP4cEn9KYFkHuz5J9BTC5GRGCT6kYApm4eXtkhMcnYgfzpUt9+JDJx9eKABw4IEjDkZ+UZp5iDcBxs9ehoPyf8t1/wCAimAYHyhz36UASGCOP5sk/Xml2gnhic+2KaVUryXzTRkH/WBVHXPWkAPvzsEqL9VzUXlRJgtKXYdgOKnzFjPykeppou0HyxmPP0pgLviPII/Wil+1N7flRQB//9k=",
            "text/plain": [
              "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=451x480>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "square = PIL.Image.open('square.png')\n",
        "display(square)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "id": "hLCLf3jMIfN5"
      },
      "outputs": [
        {
          "data": {
            "image/jpeg": 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",
            "text/plain": [
              "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=451x480>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pentagon = PIL.Image.open('pentagon.png')\n",
        "display(pentagon)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "YYSK-bayI7xZ"
      },
      "outputs": [],
      "source": [
        "prompt = \"\"\"\n",
        "    Look at this sequence of three shapes. What shape should come as the fourth shape? Explain\n",
        "    your reasoning with detailed descriptions of the first shapes.\n",
        "\"\"\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "id": "pZq_qf7wIsvi"
      },
      "outputs": [],
      "source": [
        "from IPython.display import Markdown"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "id": "k6BoaFNTD0O5"
      },
      "outputs": [
        {
          "data": {
            "text/markdown": [
              "Okay, let's analyze the sequence and predict the next shape.\n",
              "\n",
              "**Shapes and their characteristics:**\n",
              "\n",
              "*   **First Shape:** A triangle. It has three sides and three angles.\n",
              "\n",
              "*   **Second Shape:** A square. It has four sides and four angles.\n",
              "\n",
              "*   **Third Shape:** A pentagon. It has five sides and five angles.\n",
              "\n",
              "**Reasoning:**\n",
              "\n",
              "The sequence shows a progression where each shape adds one more side and angle than the previous shape. We have:\n",
              "\n",
              "*   3 sides (triangle)\n",
              "*   4 sides (square)\n",
              "*   5 sides (pentagon)\n",
              "\n",
              "**Prediction:**\n",
              "\n",
              "Following this pattern, the next shape should have six sides and six angles.\n",
              "\n",
              "**Therefore, the fourth shape in the sequence should be a hexagon.**"
            ],
            "text/plain": [
              "<IPython.core.display.Markdown object>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "contents = [\n",
        "    prompt,\n",
        "    triangle,\n",
        "    square,\n",
        "    pentagon\n",
        "]\n",
        "\n",
        "response = client.models.generate_content(\n",
        "    model=MODEL_ID,\n",
        "    contents=contents\n",
        ")\n",
        "display(Markdown(response.text))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SZdB4dgxLySg"
      },
      "source": [
        "## Further reading\n",
        "\n",
        "In this notebook, you included images directly in the prompt. This is fine for small images. If your prompts will exceed 20MB in size, you can use the [Files API](https://github.com/google-gemini/cookbook/tree/main/quickstarts/file-api) to upload your images (and other media types) in advance."
      ]
    }
  ],
  "metadata": {
    "colab": {
      "name": "Guess_the_shape.ipynb",
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
